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
The traditional chimney software architecture design,which is based on the application object,scale and equipment,is difficult to meet the urgent need of multi-resolution,multi-viewpoint,two-dimensional and three-dime...The traditional chimney software architecture design,which is based on the application object,scale and equipment,is difficult to meet the urgent need of multi-resolution,multi-viewpoint,two-dimensional and three-dimensional consistent battlefield situation comprehensive display.Referring to the idea of U.S.Army's general operational diagram,the architecture of the current battlefield situation integrated display system is upgraded and improved.Aiming at the problems of information splitting and real-time undifferentiated access of multi-domain heterogeneous data,technical means such as spatial analysis and multi-source data integration are put forward,and the problems of fast loading and visualization of 3D models of the large battlefield space are solved by designing force clustering and motion trajectory smoothing algorithms.This method improves the service ability and the level of the battlefield situation comprehensive display system,and has a broad arrange of application.展开更多
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The traditional chimney software architecture design,which is based on the application object,scale and equipment,is difficult to meet the urgent need of multi-resolution,multi-viewpoint,two-dimensional and three-dimensional consistent battlefield situation comprehensive display.Referring to the idea of U.S.Army's general operational diagram,the architecture of the current battlefield situation integrated display system is upgraded and improved.Aiming at the problems of information splitting and real-time undifferentiated access of multi-domain heterogeneous data,technical means such as spatial analysis and multi-source data integration are put forward,and the problems of fast loading and visualization of 3D models of the large battlefield space are solved by designing force clustering and motion trajectory smoothing algorithms.This method improves the service ability and the level of the battlefield situation comprehensive display system,and has a broad arrange of application.
