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Fuzzy Inventory Model under Selling Price Dependent Demand and Variable Deterioration with Fully Backlogged Shortages
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作者 Tanzim S. Shaikh Santosh P. Gite 《American Journal of Operations Research》 2024年第2期87-103,共17页
The objective is to develop a model considering demand dependent on selling price and deterioration occurs after a certain period of time, which follows two-parameter Weibull distribution. Shortages are allowed and fu... The objective is to develop a model considering demand dependent on selling price and deterioration occurs after a certain period of time, which follows two-parameter Weibull distribution. Shortages are allowed and fully backlogged. Fuzzy optimal solution is obtained by considering hexagonal fuzzy numbers and for defuzzification Graded Mean Integration Representation Method. A numerical example is provided for the illustration of crisp and fuzzy, both models. To observe the effect of changes in parameters, sensitivity analysis is carried out. 展开更多
关键词 DETERIORATION Selling Price Dependent Demand Fully Backlogged Hexagonal Fuzzy Numbers Graded Mean Integration Representation Method
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ON THE LOCALIZATION AND CONVERGENCE OF MULTIPLE FOURIER INTEGRAL BY BOCHNER-RIESZ MEANS
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作者 Yu Maohe Kunming Hydropower Scientific Research Institute, China 《Analysis in Theory and Applications》 1993年第2期37-49,共13页
In this paper we consider lim _(R-) B_R^(f,x_0), in one case that f_x_0 (t) is a ABMV function on [0, ∞], and in another case that f∈L_(m-1)~1(R~) and x^k/~kf∈BV(R) when |k| = m-1 and f(x) = 0 when |x -x_0|<δ f... In this paper we consider lim _(R-) B_R^(f,x_0), in one case that f_x_0 (t) is a ABMV function on [0, ∞], and in another case that f∈L_(m-1)~1(R~) and x^k/~kf∈BV(R) when |k| = m-1 and f(x) = 0 when |x -x_0|<δ for some δ>0. Our theormes improve the results of Pan Wenjie ([1]). 展开更多
关键词 LIM ON THE LOCALIZATION AND CONVERGENCE OF MULTIPLE FOURIER INTEGRAL BY BOCHNER-RIESZ means
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APPROXIMATION OF SPHERICAL MEANS OF MULTIPLE FOURIER INTEGRALS AND FOURIER SERIES ON SET OF FULL MEASURE
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作者 Wang Shiming Zhejiang Institute of Technology, China Math. Section Dept. of Basic Courses Zhejiang Institute of Technology, Hangzhou, 310014, China 《Analysis in Theory and Applications》 1994年第2期17-23,共7页
In this paper we consider the approximation for functions in some subspaces of L^2 by spherical means of their Fourier integrals and Fourier series on set of full measure. Two main theorems are obtained.
关键词 SET Th Pro APPROXIMATION OF SPHERICAL means OF MULTIPLE FOURIER INTEGRALS AND FOURIER SERIES ON SET OF FULL MEASURE WANG
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Failure Mode and Effects Analysis Based on Z-Numbers and the Graded Mean Integration Representation
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作者 Hanhan Zhang Zhihui Xu +1 位作者 Hong Qian Xiaoyan Su 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第2期1005-1019,共15页
Failuremode and effects analysis(FMEA)is a widely used safety assessmentmethod inmany fields.Z-number was previously applied in FMEA since it can take both possibility and reliability of information into consideration... Failuremode and effects analysis(FMEA)is a widely used safety assessmentmethod inmany fields.Z-number was previously applied in FMEA since it can take both possibility and reliability of information into consideration.However,the use of fuzzy weighted mean to integrate Z-valuations may have some drawbacks and is not suitable for some situations.In this paper,an improved method is proposed based on Z-numbers and the graded mean integration representation(GMIR)to deal with the uncertain information in FMEA.First,Z-numbers are constructed based on the evaluations of risk factors O,S,D for each failure mode by different experts.Second,weights of the three risk factors and experts are determined.Third,the integration representations of Z-numbers are obtained by a newmethod based on the GMIRmethod.Finally,risk priorities of the failure modes are derived considering the weights of experts and risk factors.Two examples and a case study are given to show the use of the proposed method and comparison with other methods.The results show that the proposed method is more reasonable,universal and simple in calculation. 展开更多
关键词 Safety assessment FMEA risk priority number Z-number the graded mean integration representation
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Some Results on Areally Mean Valent Functions
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作者 魏寒柏 李万社 张良 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第4期1-15, ,共15页
Let M be the class of areally mean univalent function, f ∈M and In this paper, we estimate the arithmetical mean of coefficients Dn(λ) and the arithmetical mean of successive coefficients tn(λ) =||Dn+1(λ)|-|Dn(λ)... Let M be the class of areally mean univalent function, f ∈M and In this paper, we estimate the arithmetical mean of coefficients Dn(λ) and the arithmetical mean of successive coefficients tn(λ) =||Dn+1(λ)|-|Dn(λ)||. Our results are sharp. In addition, we also generalize Hayman's theorem on integral mean 展开更多
关键词 areally mean univalent functions maximal growth integral mean
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SOME RESULTS CONCERNING GROWTH OF POLYNOMIALS
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作者 Abdul Liman Sajad Amin Baba 《Analysis in Theory and Applications》 2008年第4期351-363,共13页
In this paper, we establish inequalities for polynomials with restricted zeros, which in particular yields interesting generalizations of some Zygmund type inequalities for polynomial.
关键词 POLYNOMIAL integral mean estimate
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EXISTENCE OF AREA MINIMIZING TANGENT CONES OF INTEGRAL CURRENTS WITH PRESCRIBED MEAN CURVATURE
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作者 Frank Duzaar(Institut fur Augewandte Mathematik der Universitat Bonn,Beringstr.4.D-53115 Bonn)Martin Fuchs(Universitat des Saarlandes,Fachbereich Mathematik,D-66123 Saarbrucken) 《Acta Mathematica Scientia》 SCIE CSCD 1995年第1期95-102,共8页
Given an integral M-currrent To in Rm+k and a tensor H of type(m.l)on Rn+k with values orthogonal to each of its arguments we proved in a previous peper[3]the sxistence of anintegral m-current T =γ(M,θ.ζ)with bound... Given an integral M-currrent To in Rm+k and a tensor H of type(m.l)on Rn+k with values orthogonal to each of its arguments we proved in a previous peper[3]the sxistence of anintegral m-current T =γ(M,θ.ζ)with boundary T0 and mean curvature vector H by minimizing an appropriate functional on suitable subclasses of the set of all integral currents.In thes paperwe discuss the existence and structure of oriented tangent cones C of T at points x∈spt(T) spt(T),especially we show that C is locally mass minimizing. 展开更多
关键词 integral currents generalized mean curvature tangent cones
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VARIATIONAL PROPERTIES OF THE INTEGRATED MEAN CURVATURES OF TUBES IN SYMMETRIC SPACES
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作者 X.GUAL-ARNAU R.MASó A.M.NAVEIRA 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第1期53-62,共10页
Let Pt denote the tubular hypersurface of radius t around a given compatible submanifold in a symmetric space of arbitrary rank. The authors will obtain some relations between the integrated mean curvatures of P, and ... Let Pt denote the tubular hypersurface of radius t around a given compatible submanifold in a symmetric space of arbitrary rank. The authors will obtain some relations between the integrated mean curvatures of P, and their derivatives with respect to f. Moreover, the authors will emphasize the differences between the results obtained for rank one and arbitrary rank symmetric spaces. 展开更多
关键词 integrated mean curvatures Symmetric spaces TUBES Geodesic balls Totally geodesic submanifold Principal orbit Variational problems
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The abstract of doctoral dissertation‘nonlinear wavelet density estimation and hazard rate estimation with data missing at random’
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作者 Yuye Zou Guoliang Fan Riquan Zhang 《Statistical Theory and Related Fields》 2020年第1期117-119,共3页
In this thesis,we establish non-linear wavelet density estimators and studying the asymptotic properties of the estimators with data missing at random when covariates are present.The outstanding advantage of non-linea... In this thesis,we establish non-linear wavelet density estimators and studying the asymptotic properties of the estimators with data missing at random when covariates are present.The outstanding advantage of non-linear wavelet method is estimating the unsoothed functions,however,the classical kernel estimation cannot do this work.At the same time,we study the larger sample properties of the ISE for hazard rate estimator. 展开更多
关键词 Asymptotic normality integral square error mean integral square error missing at random non-linear wavelet
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A new recursive method for the analysis of linear time invariant dynamic systems via double-term triangular functions (DTTF) in state space environment
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作者 Anish DEB Suchismita GHOSH +1 位作者 Srimanti Roy CHOUDHURY Gautam SARKAR 《控制理论与应用(英文版)》 EI CSCD 2013年第1期108-115,共8页
This paper presents a new recursive method for system analysis via double-term triangular functions (DTTF) in state space environment. The proposed method uses orthogonal triangular function sets and proves to be mo... This paper presents a new recursive method for system analysis via double-term triangular functions (DTTF) in state space environment. The proposed method uses orthogonal triangular function sets and proves to be more accurate as compared to single term Walsh series (STWS) method with respect to mean integral square error (MISE). This has been established theoretically and comparison of error with respect to MISE is presented for clarity. A numerical example is treated to establish the proposed method. Relevant curves for the solutions of states of the dynamic system are also presented with plots of percentage error for DTTF-based analysis. 展开更多
关键词 Double term triangular functions Walsh functions System analysis Single term Walsh series Mean integral square error (MISE)
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An Integral Representation for the Weighted Geometric Mean and Its Applications
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作者 Feng QI Xiao Jing ZHANG Wen Hui LI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第1期61-68,共8页
By virtue of Cauchy’s integral formula in the theory of complex functions,the authors establish an integral representation for the weighted geometric mean,apply this newly established integral representation to show ... By virtue of Cauchy’s integral formula in the theory of complex functions,the authors establish an integral representation for the weighted geometric mean,apply this newly established integral representation to show that the weighted geometric mean is a complete Bernstein function,and find a new proof of the well-known weighted arithmetic-geometric mean inequality. 展开更多
关键词 Integral representation Cauchy's integral formula arithmetic mean geometric mean weighted arithmetic-geometric mean inequality complete Bernstein function new proof application
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