๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Properties of b-vex fuzzy mappings and applications to fuzzy optimization

โœ Scribed by Li Dengfeng

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
496 KB
Volume
94
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

โœฆ Synopsis

Convexity plays a key role in operations research and fuzzy optimization theory. The concept of b-vex and logarithmic b-vex for fuzzy mappings is introduced by relaxing the definition of convexity of a fuzzy mapping. Most of the basic properties of b-vex fuzzy mapping are discussed and established for the nondifferentiable case. Necessary and sufficient conditions for b-vex fuzzy mapping are presented. Several important results are given for nonlinear fuzzy optimization problems assuming that objective and constraint functions are b-vex fuzzy mappings.

๐Ÿ“œ SIMILAR VOLUMES

Directional derivatives and subdifferent
Directional derivatives and subdifferential of convex fuzzy mappings and application in convex fuzzy programming
โœ Guixiang Wang; Congxin Wu ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 419 KB

In this paper, we put forward the concepts of directional derivative, di erential and subdi erential of fuzzy mappings from R n into E 1 , and discuss the characterizations of directional derivative and di erential by, respectively, using the directional derivative and di erential of two crisp funct

Multicriteria fuzzy optimization of stru
Multicriteria fuzzy optimization of structural systems
โœ Sadaji Ohkubo; P. B. R. Dissanayake ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 186 KB ๐Ÿ‘ 1 views

This paper proposes an efficient, systematic and generalized multicriteria fuzzy optimum design method for the structural systems, using the suboptimization concept, introduction of measure membership functions and fuzzy decision-making techniques. Each objective function is suboptimized first for a

A new parametric family of fuzzy connect
A new parametric family of fuzzy connectives and their application to fuzzy control
โœ Michael Berger ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 751 KB

It is of practical importance to have parametric families of fuzzy connectives which are easy to handle and which are rich enough in the situation under consideration. This paper introduces a new axiomatic description to conjunctive and compensative connection of fuzzy sets. The new parametric famil