The idea of linear Diophantine fuzzy set(LDFS)theory with its control parameters is a strong model for machine learning and optimization under uncertainty.The activity times in the critical path method(CPM)representat...The idea of linear Diophantine fuzzy set(LDFS)theory with its control parameters is a strong model for machine learning and optimization under uncertainty.The activity times in the critical path method(CPM)representation procedures approach are initially static,but in the Project Evaluation and Review Technique(PERT)approach,they are probabilistic.This study proposes a novel way of project review and assessment methodology for a project network in a linear Diophantine fuzzy(LDF)environment.The LDF expected task time,LDF variance,LDF critical path,and LDF total expected time for determining the project network are all computed using LDF numbers as the time of each activity in the project network.The primary premise of the LDF-PERT approach is to address ambiguities in project network activity timesmore simply than other approaches such as conventional PERT,Fuzzy PERT,and so on.The LDF-PERT is an efficient approach to analyzing symmetries in fuzzy control systems to seek an optimal decision.We also present a new approach for locating LDF-CPM in a project network with uncertain and erroneous activity timings.When the available resources and activity times are imprecise and unpredictable,this strategy can help decision-makers make better judgments in a project.A comparison analysis of the proposed technique with the existing techniques has also been discussed.The suggested techniques are demonstrated with two suitable numerical examples.展开更多
This paper aims to introduce the novel concept of neutrosophic crisp soft set(NCSS),including various types of neutrosophic crisp soft sets(NCSSs)and their fundamental operations.We define NCS-mapping and its inverse ...This paper aims to introduce the novel concept of neutrosophic crisp soft set(NCSS),including various types of neutrosophic crisp soft sets(NCSSs)and their fundamental operations.We define NCS-mapping and its inverse NCS-mapping between two NCS-classes.We develop a robust mathematical modeling with the help of NCS-mapping to analyze the emerging trends in social networking systems(SNSs)for our various generations.We investigate the advantages,disadvantages,and natural aspects of SNSs for five generations.With the changing of the generations,it is analyzed that emerging trends and the benefits of SNSs are increasing day by day.The suggested modeling with NCS-mapping is applicable in solving various decision-making problems.展开更多
Cotton plant observes significant reduction in seed cotton yield when subjected to water stress.To find out genotypes having better drought tolerance,seven genotypes of Gossypium hirsutum L.were tested under two moist...Cotton plant observes significant reduction in seed cotton yield when subjected to water stress.To find out genotypes having better drought tolerance,seven genotypes of Gossypium hirsutum L.were tested under two moisture levels,i.e.,normal and water deficit stress conditions at five locations of Punjab,Pakistan(Faisalabad,Sahiwal,Vehari,Rahim Yar Khan,and Bahawalpur)in 2013 and 2014.Genotype×environment interaction(GEI)was studied using the genotype main effects and genotype by environment interaction(GGE)biplot and additive main effect and multiplicative interaction analysis.The genotypes G3(7001/11)and G6(FH-942)were stable under normal condition,while under drought condition,the stable genotype was G5(FH-326)when analysed using additive main effects and multiplicative interaction(AMMI)biplot scheme.While GGE biplot analysis on the basis of best performance revealed that under normal condition the genotypes,G1(L-13/10)and G2(FH-2056/10),carrying the common position in biplot.Whereas,under water deficit stress condition,G5 was the best adaptive genotype at all five locations.In the same way,ranking of genotypes showed that the G5 was the ideal genotype under both conditions.So,it is concluded that the genotype G5(FH-326)was found best for water deficit stress condition and can be cultivated under water scarce areas of Punjab.展开更多
The existing concepts of picture fuzzy sets(PFS),spherical fuzzy sets(SFSs),T-spherical fuzzy sets(T-SFSs)and neutrosophic sets(NSs)have numerous applications in decision-making problems,but they have various strict l...The existing concepts of picture fuzzy sets(PFS),spherical fuzzy sets(SFSs),T-spherical fuzzy sets(T-SFSs)and neutrosophic sets(NSs)have numerous applications in decision-making problems,but they have various strict limitations for their satisfaction,dissatisfaction,abstain or refusal grades.To relax these strict constraints,we introduce the concept of spherical linearDiophantine fuzzy sets(SLDFSs)with the inclusion of reference or control parameters.A SLDFSwith parameterizations process is very helpful formodeling uncertainties in themulti-criteria decisionmaking(MCDM)process.SLDFSs can classify a physical systemwith the help of reference parameters.We discuss various real-life applications of SLDFSs towards digital image processing,network systems,vote casting,electrical engineering,medication,and selection of optimal choice.We show some drawbacks of operations of picture fuzzy sets and their corresponding aggregation operators.Some new operations on picture fuzzy sets are also introduced.Some fundamental operations on SLDFSs and different types of score functions of spherical linear Diophantine fuzzy numbers(SLDFNs)are proposed.New aggregation operators named spherical linear Diophantine fuzzy weighted geometric aggregation(SLDFWGA)and spherical linear Diophantine fuzzy weighted average aggregation(SLDFWAA)operators are developed for a robust MCDM approach.An application of the proposed methodology with SLDF information is illustrated.The comparison analysis of the final ranking is also given to demonstrate the validity,feasibility,and efficiency of the proposed MCDM approach.展开更多
This paper aims to introduce the novel concept of the bipolar picture fuzzy set(BPFS)as a hybrid structure of bipolar fuzzy set(BFS)and picture fuzzy set(PFS).BPFS is a new kind of fuzzy sets to deal with bipolarity(b...This paper aims to introduce the novel concept of the bipolar picture fuzzy set(BPFS)as a hybrid structure of bipolar fuzzy set(BFS)and picture fuzzy set(PFS).BPFS is a new kind of fuzzy sets to deal with bipolarity(both positive and negative aspects)to each membership degree(belonging-ness),neutral membership(not decided),and non-membership degree(refusal).In this article,some basic properties of bipolar picture fuzzy sets(BPFSs)and their fundamental operations are introduced.The score function,accuracy function and certainty function are suggested to discuss the comparability of bipolar picture fuzzy numbers(BPFNs).Additionally,the concept of new distance measures of BPFSs is presented to discuss geometrical properties of BPFSs.In the context of BPFSs,certain aggregation operators(AOs)named as“bipolar picture fuzzy weighted geometric(BPFWG)operator,bipolar picture fuzzy ordered weighted geometric(BPFOWG)operator and bipolar picture fuzzy hybrid geometric(BPFHG)operator”are defined for information aggregation of BPFNs.Based on the proposed AOs,a new multicriteria decision-making(MCDM)approach is proposed to address uncertain real-life situations.Finally,a practical application of proposed methodology is also illustrated to discuss its feasibility and applicability.展开更多
This paper addresses the control law design for synchronization of two different chaotic oscillators with mutually Lipschitz nonlinearities. For analysis of the properties of two different nonlinearities, an advanced ...This paper addresses the control law design for synchronization of two different chaotic oscillators with mutually Lipschitz nonlinearities. For analysis of the properties of two different nonlinearities, an advanced mutually Lipschitz condition is proposed. This mutually Lipschitz condition is more general than the traditional Lipschitz condition. Unlike the latter, it can be used for the design of a feedback controller for synchronization of chaotic oscillators of different dynamics. It is shown that any two different Lipschitz nonlinearities always satisfy the mutually Lipschitz condition. Applying the mutually Lipschitz condition, a quadratic Lyapunov function and uniformly ultimately bounded stability, easily designable and implementable robust control strategies utilizing algebraic Riccati equation and linear matrix inequalities, are derived for synchronization of two distinct chaotic oscillators. Furthermore, a novel adaptive control scheme for mutually Lipschitz chaotic systems is established by addressing the issue of adaptive cancellation of unknown mismatch between the dynamics of different chaotic systems. The proposed control technique is numerically tested for synchronization of two different chaotic Chua's circuits and for obtaining identical behavior between the modified Chua's circuit and the R6ssler system.展开更多
The present study was aimed to assess the potential of infertility to induce the adverse effects with reference to testosterone, Triiodothyronine (T3), Thyroxine (T4), Alanine Aminotransferase (ALT), Aspartate Amino-t...The present study was aimed to assess the potential of infertility to induce the adverse effects with reference to testosterone, Triiodothyronine (T3), Thyroxine (T4), Alanine Aminotransferase (ALT), Aspartate Amino-transferase (AST), zinc, copper and iron. All the samples were divided into four groups according to age and disorder (Group 1, 10 infertile men of 25-40 years;Group 2, 10 fertile men of 25-40 years;Group 3, 10 infertile men of 41- 60 years and Group 4, 10 fertile men of 41-60 years). Semen and blood samples were analyzed by atomic absorption spectrophotometry to determine minerals while, Testosterone, T3 and T4 were determined by enzyme immunoassay kits. ALT and AST were determined using standard kit assay method. The levels of testosterone and T3 and AST in the fertile semen of 41-60 years age group were increased significantly (P ≤ 0.001) as compared to that of fertile semen of 25-40 years age group. While, the level of T4 in the fertile semen of 41-60 years age group was decreased significantly (P ≤ 0.001) as compared to that of fertile semen of 25-40 years age group. In case of fertile serum, only the level of testosterone was significantly decreased (P ≤ 0.05) in the 41-60 years age group as compared to 25-40 years age group. The levels of testosterone and Cu in the infertile serum of 41-60 years age group were decreased significantly (P ≤ 0.001). While, the levels of T3, T4, ALT and Fe in the infertile serum of 41-60 years age group were increased significantly (P ≤ 0.05) as compared to that of infertile serum of 25-40 years age group.展开更多
The presence of dispersion/variability in any process is understood and its careful monitoring may furnish the performance of any process. The interquartile range (IQR) is one of the dispersion measures based on lower...The presence of dispersion/variability in any process is understood and its careful monitoring may furnish the performance of any process. The interquartile range (IQR) is one of the dispersion measures based on lower and upper quartiles. For efficient monitoring of process dispersion, we have proposed auxiliary information based Shewhart-type IQR control charts (namely IQRr and IQRp charts) based on ratio and product estimators of lower and upper quartiles under bivariate normally distributed process. We have developed the control structures of proposed charts and compared their performances with the usual IQR chart in terms of detection ability of shift in process dispersion. For the said purpose power curves are constructed to demonstrate the performance of the three IQR charts under discussion in this article. We have also provided an illustrative example to justify theory and finally closed with concluding remarks.展开更多
In Pakistan, a hierarchical healthcare system is an efficient way of addressing the issueof limited and insufficient healthcare services. Identifying the various degrees of diseasebased on the doctor's diagnosis i...In Pakistan, a hierarchical healthcare system is an efficient way of addressing the issueof limited and insufficient healthcare services. Identifying the various degrees of diseasebased on the doctor's diagnosis is an important step in developing the hierarchical healthcaretreatment structure. This research presents a framework for dealing with the issueof diagnosis values presented as "picture fuzzy numbers (PFNs)". Specifically, the goal ofthis study is to establish some innovative operational laws and "aggregation operators"(AOs) in a picture fuzzy environment. In this regard, we proposed some new neutral orfair operational laws that incorporate the concept of proportional distribution in orderto achieve a neutral or fair remedy to the positive, neutral and negative aspects ofPFNs. Based on the developed operational laws, we proposed the "picture fuzzy fairlyweighted average operator" and the "picture fuzzy fairly ordered weighted averagingoperator". Compared to previous techniques, the proposed AOs provide more generalizedand reliable. Furthermore, using proposed AOs with multiple decision-makers andpartial weight information under PFNs, a "multi-criteria decision-making" algorithmis developed. Finally, we provide an example to show how the novel approach can aidhierarchical treatment systems. This is essential for merging the healthcare capabilitiesof the general public and optimizing the medical care system's service performance.展开更多
With the development of high-throughput biology techniques and artificial intelligence,it has become increasingly feasible to design and construct artificial biological parts,modules,circuits,and even whole systems.To...With the development of high-throughput biology techniques and artificial intelligence,it has become increasingly feasible to design and construct artificial biological parts,modules,circuits,and even whole systems.To overcome the limitations of native promoters in controlling gene expression,artificial promoter design aims to synthesize short,inducible,and conditionally controlled promoters to coordinate the expression of multiple genes in diverse plant metabolic and signaling pathways.Synthetic promoters are versatile and can drive gene expression accurately with smart responses;they show potential for enhancing desirable traits in crops,thereby improving crop yield,nutritional quality,and food security.This review first illustrates the importance of synthetic promoters,then introduces promoter architecture and thoroughly summarizes advances in synthetic promoter construction.Restrictions to the development of synthetic promoters and future applications of such promoters in synthetic plant biology and crop improvement are also discussed.展开更多
基金supported by the Deanship of Scientific Research,Vice Presidency for Graduate Studies and Scientific Research,King Faisal University,Saudi Arabia[Grant No.GRANT3862].
文摘The idea of linear Diophantine fuzzy set(LDFS)theory with its control parameters is a strong model for machine learning and optimization under uncertainty.The activity times in the critical path method(CPM)representation procedures approach are initially static,but in the Project Evaluation and Review Technique(PERT)approach,they are probabilistic.This study proposes a novel way of project review and assessment methodology for a project network in a linear Diophantine fuzzy(LDF)environment.The LDF expected task time,LDF variance,LDF critical path,and LDF total expected time for determining the project network are all computed using LDF numbers as the time of each activity in the project network.The primary premise of the LDF-PERT approach is to address ambiguities in project network activity timesmore simply than other approaches such as conventional PERT,Fuzzy PERT,and so on.The LDF-PERT is an efficient approach to analyzing symmetries in fuzzy control systems to seek an optimal decision.We also present a new approach for locating LDF-CPM in a project network with uncertain and erroneous activity timings.When the available resources and activity times are imprecise and unpredictable,this strategy can help decision-makers make better judgments in a project.A comparison analysis of the proposed technique with the existing techniques has also been discussed.The suggested techniques are demonstrated with two suitable numerical examples.
基金the Deanship of Scientific Research at King Khalid University for funding this work through General Research Project under Grant No.R.G.P.2/181/44.
文摘This paper aims to introduce the novel concept of neutrosophic crisp soft set(NCSS),including various types of neutrosophic crisp soft sets(NCSSs)and their fundamental operations.We define NCS-mapping and its inverse NCS-mapping between two NCS-classes.We develop a robust mathematical modeling with the help of NCS-mapping to analyze the emerging trends in social networking systems(SNSs)for our various generations.We investigate the advantages,disadvantages,and natural aspects of SNSs for five generations.With the changing of the generations,it is analyzed that emerging trends and the benefits of SNSs are increasing day by day.The suggested modeling with NCS-mapping is applicable in solving various decision-making problems.
文摘Cotton plant observes significant reduction in seed cotton yield when subjected to water stress.To find out genotypes having better drought tolerance,seven genotypes of Gossypium hirsutum L.were tested under two moisture levels,i.e.,normal and water deficit stress conditions at five locations of Punjab,Pakistan(Faisalabad,Sahiwal,Vehari,Rahim Yar Khan,and Bahawalpur)in 2013 and 2014.Genotype×environment interaction(GEI)was studied using the genotype main effects and genotype by environment interaction(GGE)biplot and additive main effect and multiplicative interaction analysis.The genotypes G3(7001/11)and G6(FH-942)were stable under normal condition,while under drought condition,the stable genotype was G5(FH-326)when analysed using additive main effects and multiplicative interaction(AMMI)biplot scheme.While GGE biplot analysis on the basis of best performance revealed that under normal condition the genotypes,G1(L-13/10)and G2(FH-2056/10),carrying the common position in biplot.Whereas,under water deficit stress condition,G5 was the best adaptive genotype at all five locations.In the same way,ranking of genotypes showed that the G5 was the ideal genotype under both conditions.So,it is concluded that the genotype G5(FH-326)was found best for water deficit stress condition and can be cultivated under water scarce areas of Punjab.
文摘The existing concepts of picture fuzzy sets(PFS),spherical fuzzy sets(SFSs),T-spherical fuzzy sets(T-SFSs)and neutrosophic sets(NSs)have numerous applications in decision-making problems,but they have various strict limitations for their satisfaction,dissatisfaction,abstain or refusal grades.To relax these strict constraints,we introduce the concept of spherical linearDiophantine fuzzy sets(SLDFSs)with the inclusion of reference or control parameters.A SLDFSwith parameterizations process is very helpful formodeling uncertainties in themulti-criteria decisionmaking(MCDM)process.SLDFSs can classify a physical systemwith the help of reference parameters.We discuss various real-life applications of SLDFSs towards digital image processing,network systems,vote casting,electrical engineering,medication,and selection of optimal choice.We show some drawbacks of operations of picture fuzzy sets and their corresponding aggregation operators.Some new operations on picture fuzzy sets are also introduced.Some fundamental operations on SLDFSs and different types of score functions of spherical linear Diophantine fuzzy numbers(SLDFNs)are proposed.New aggregation operators named spherical linear Diophantine fuzzy weighted geometric aggregation(SLDFWGA)and spherical linear Diophantine fuzzy weighted average aggregation(SLDFWAA)operators are developed for a robust MCDM approach.An application of the proposed methodology with SLDF information is illustrated.The comparison analysis of the final ranking is also given to demonstrate the validity,feasibility,and efficiency of the proposed MCDM approach.
文摘This paper aims to introduce the novel concept of the bipolar picture fuzzy set(BPFS)as a hybrid structure of bipolar fuzzy set(BFS)and picture fuzzy set(PFS).BPFS is a new kind of fuzzy sets to deal with bipolarity(both positive and negative aspects)to each membership degree(belonging-ness),neutral membership(not decided),and non-membership degree(refusal).In this article,some basic properties of bipolar picture fuzzy sets(BPFSs)and their fundamental operations are introduced.The score function,accuracy function and certainty function are suggested to discuss the comparability of bipolar picture fuzzy numbers(BPFNs).Additionally,the concept of new distance measures of BPFSs is presented to discuss geometrical properties of BPFSs.In the context of BPFSs,certain aggregation operators(AOs)named as“bipolar picture fuzzy weighted geometric(BPFWG)operator,bipolar picture fuzzy ordered weighted geometric(BPFOWG)operator and bipolar picture fuzzy hybrid geometric(BPFHG)operator”are defined for information aggregation of BPFNs.Based on the proposed AOs,a new multicriteria decision-making(MCDM)approach is proposed to address uncertain real-life situations.Finally,a practical application of proposed methodology is also illustrated to discuss its feasibility and applicability.
基金supported by the Higher Education Commission of Pakistan through the Indigenous 5000 Ph.D.Fellowship Program(Phase II,Batch II)
文摘This paper addresses the control law design for synchronization of two different chaotic oscillators with mutually Lipschitz nonlinearities. For analysis of the properties of two different nonlinearities, an advanced mutually Lipschitz condition is proposed. This mutually Lipschitz condition is more general than the traditional Lipschitz condition. Unlike the latter, it can be used for the design of a feedback controller for synchronization of chaotic oscillators of different dynamics. It is shown that any two different Lipschitz nonlinearities always satisfy the mutually Lipschitz condition. Applying the mutually Lipschitz condition, a quadratic Lyapunov function and uniformly ultimately bounded stability, easily designable and implementable robust control strategies utilizing algebraic Riccati equation and linear matrix inequalities, are derived for synchronization of two distinct chaotic oscillators. Furthermore, a novel adaptive control scheme for mutually Lipschitz chaotic systems is established by addressing the issue of adaptive cancellation of unknown mismatch between the dynamics of different chaotic systems. The proposed control technique is numerically tested for synchronization of two different chaotic Chua's circuits and for obtaining identical behavior between the modified Chua's circuit and the R6ssler system.
文摘The present study was aimed to assess the potential of infertility to induce the adverse effects with reference to testosterone, Triiodothyronine (T3), Thyroxine (T4), Alanine Aminotransferase (ALT), Aspartate Amino-transferase (AST), zinc, copper and iron. All the samples were divided into four groups according to age and disorder (Group 1, 10 infertile men of 25-40 years;Group 2, 10 fertile men of 25-40 years;Group 3, 10 infertile men of 41- 60 years and Group 4, 10 fertile men of 41-60 years). Semen and blood samples were analyzed by atomic absorption spectrophotometry to determine minerals while, Testosterone, T3 and T4 were determined by enzyme immunoassay kits. ALT and AST were determined using standard kit assay method. The levels of testosterone and T3 and AST in the fertile semen of 41-60 years age group were increased significantly (P ≤ 0.001) as compared to that of fertile semen of 25-40 years age group. While, the level of T4 in the fertile semen of 41-60 years age group was decreased significantly (P ≤ 0.001) as compared to that of fertile semen of 25-40 years age group. In case of fertile serum, only the level of testosterone was significantly decreased (P ≤ 0.05) in the 41-60 years age group as compared to 25-40 years age group. The levels of testosterone and Cu in the infertile serum of 41-60 years age group were decreased significantly (P ≤ 0.001). While, the levels of T3, T4, ALT and Fe in the infertile serum of 41-60 years age group were increased significantly (P ≤ 0.05) as compared to that of infertile serum of 25-40 years age group.
文摘The presence of dispersion/variability in any process is understood and its careful monitoring may furnish the performance of any process. The interquartile range (IQR) is one of the dispersion measures based on lower and upper quartiles. For efficient monitoring of process dispersion, we have proposed auxiliary information based Shewhart-type IQR control charts (namely IQRr and IQRp charts) based on ratio and product estimators of lower and upper quartiles under bivariate normally distributed process. We have developed the control structures of proposed charts and compared their performances with the usual IQR chart in terms of detection ability of shift in process dispersion. For the said purpose power curves are constructed to demonstrate the performance of the three IQR charts under discussion in this article. We have also provided an illustrative example to justify theory and finally closed with concluding remarks.
文摘In Pakistan, a hierarchical healthcare system is an efficient way of addressing the issueof limited and insufficient healthcare services. Identifying the various degrees of diseasebased on the doctor's diagnosis is an important step in developing the hierarchical healthcaretreatment structure. This research presents a framework for dealing with the issueof diagnosis values presented as "picture fuzzy numbers (PFNs)". Specifically, the goal ofthis study is to establish some innovative operational laws and "aggregation operators"(AOs) in a picture fuzzy environment. In this regard, we proposed some new neutral orfair operational laws that incorporate the concept of proportional distribution in orderto achieve a neutral or fair remedy to the positive, neutral and negative aspects ofPFNs. Based on the developed operational laws, we proposed the "picture fuzzy fairlyweighted average operator" and the "picture fuzzy fairly ordered weighted averagingoperator". Compared to previous techniques, the proposed AOs provide more generalizedand reliable. Furthermore, using proposed AOs with multiple decision-makers andpartial weight information under PFNs, a "multi-criteria decision-making" algorithmis developed. Finally, we provide an example to show how the novel approach can aidhierarchical treatment systems. This is essential for merging the healthcare capabilitiesof the general public and optimizing the medical care system's service performance.
基金funded by Key Research and Development Projects(nos.2018YFA0901000 and 2018YFA0901003)the BIO-Agri.project of SJTU.
文摘With the development of high-throughput biology techniques and artificial intelligence,it has become increasingly feasible to design and construct artificial biological parts,modules,circuits,and even whole systems.To overcome the limitations of native promoters in controlling gene expression,artificial promoter design aims to synthesize short,inducible,and conditionally controlled promoters to coordinate the expression of multiple genes in diverse plant metabolic and signaling pathways.Synthetic promoters are versatile and can drive gene expression accurately with smart responses;they show potential for enhancing desirable traits in crops,thereby improving crop yield,nutritional quality,and food security.This review first illustrates the importance of synthetic promoters,then introduces promoter architecture and thoroughly summarizes advances in synthetic promoter construction.Restrictions to the development of synthetic promoters and future applications of such promoters in synthetic plant biology and crop improvement are also discussed.