Generalization of preinvex and B-vex fuzzy mappings.

DOI10.1016/S0165-0114(99)00139-6zbMath1103.90412OpenAlexW2022336732MaRDI QIDQ5939656

Yu-Ru Syau

Publication date: 2001

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(99)00139-6

zbMATH Keywords

B-vex fuzzy mappingsConvex fuzzy mappingsFuzzy numbersInvex fuzzy mappingsPreinvex fuzzy mappings

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Related Items (13)

Nonconvex fuzzy mappings and the fuzzy pre-variational inequality ⋮ Pseudolinear fuzzy mappings ⋮ Optimality conditions for invex nonsmooth optimization problems with fuzzy objective functions ⋮ Convexity and semicontinuity of fuzzy mappings ⋮ Semistrictly preinvex fuzzy mappings ⋮ Convex fuzzy mapping and operations of convex fuzzy mappings ⋮ On characterizations of preinvex fuzzy mappings ⋮ Explicitly B-preinvex fuzzy mappings ⋮ Preinvex Fuzzy-valued Function and Its Application in Fuzzy Optimization ⋮ Generalized convex fuzzy mappings and fuzzy variational-like inequality ⋮ Characterizations of the solution sets of generalized convex fuzzy optimization problem ⋮ Duality theory in fuzzy mathematical programming problems with fuzzy coefficients ⋮ Fuzzy optimizations of convex fuzzy mappings in the quotient space of fuzzy numbers

Cites Work

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• Elementary fuzzy calculus
• Convex fuzzy mappings
• Properties of \(b\)-vex fuzzy mappings and applications to fuzzy optimization
• On convex and concave fuzzy mappings
• B-vex functions
• Generalized B-vex functions and generalized B-vex programming
• Generalization of preinvex and B-vex functions
• Invex and generalized convex fuzzy mappings
• Fuzzy preinvex functions
• Preinvex fuzzy mappings
• Differentiability and convexity of fuzzy mappings

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