نتایج جستجو برای: l fuzzy convexity

تعداد نتایج: 714033  

Journal: :Mathematics 2023

We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued as our main goal in this work. With help fuzzy-number convexity fuzzy fractional integral operator, we also show results Hermite–Hadamard (H–H) inequality, Fejér type some other related versions inequalities. Moreover, examples are presented to discuss validity results. The from new technique how suggested...

2017
Satoko Moriguchi Kazuo Murota Akihisa Tamura Fabio Tardella

For a function defined on a convex set in a Euclidean space, midpoint convexity is the property requiring that the value of the function at the midpoint of any line segment is not greater than the average of its values at the endpoints of the line segment. Midpoint convexity is a well-known characterization of ordinary convexity under very mild assumptions. For a function defined on the integer...

Journal: :Appl. Math. Lett. 2008
Yu-Ru Syau Ly Fie Sugianto E. Stanley Lee

The concept of upper and lower semicontinuity of fuzzy mappings introduced by Bao and Wu [Y.E. Bao, C.X. Wu, Convexity and semicontinuity of fuzzy mappings, Comput. Math. Appl., 51 (2006) 1809–1816] is redefined by using the concept of parameterized triples of fuzzy numbers. On the basis of the linear ordering of fuzzy numbers proposed by Goetschel and Voxman [R. Goetschel, W. Voxman, Elementar...

Journal: :Fuzzy Optimization and Decision Making 2022

Abstract Convexity is a deeply studied concept since it very useful in many fields of mathematics, like optimization. When we deal with imprecision, the convexity required as well and some important applications can be found fuzzy optimization, particular sets. In this paper have extended notion for interval-valued sets order to able cover wider area imprecision. We show its interesting propert...

Journal: :iranian journal of fuzzy systems 2012
eun-seok kim seung-ho ahn dae heui park

in this paper, we investigate the l-fuzzy proximities and the relationships betweenl-fuzzy topologies, l-fuzzy topogenous order and l-fuzzy uniformity. first, we show that the category of-fuzzy topological spaces can be embedded in the category of l-fuzzy quasi-proximity spaces as a coreective full subcategory. second, we show that the category of l -fuzzy proximity spaces is isomorphic to the ...

Journal: :Computers & Mathematics with Applications 2008
Yu-Ru Syau Lixing Jia E. Stanley Lee

Concave properties play a dominate role in solving both classic and fuzzy optimization problems. However, since fuzzy problems are generally represented by sets, not crisp numbers, various aggregation schemes are needed to manipulate and to combine the different elements in a fuzzy optimization problem. Based on these different aggregations, various concavity properties can be formulated and ex...

Journal: :Journal of Function Spaces and Applications 2012

Journal: :Mathematics 2023

The topic of convex and nonconvex mapping has many applications in engineering applied mathematics. Aumann fuzzy integrals are the most significant interval operators that allow classical theory to be generalized. This paper considers well-known Hermite–Hadamard (HH) type associated inequalities. With help newly introduced number valued up down convexity (UD-convexity), we increase this mileage...

Journal: :Discrete Optimization 2005
Kazuo Murota Akiyoshi Shioura

A new light is shed on “substitutes and complements” in the maximum weight circulation problem with reference to the concepts of L-convexity and M-convexity in the theory of discrete convex analysis. This provides us with a deeper understanding of the relationship between convexity and submodularity in combinatorial optimization.

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