Different optimum notions for fuzzy functions and optimality conditions associated

R. Osuna-Gómez (), B. Hernández-Jiménez (), Y. Chalco-Cano () and G. Ruiz-Garzón ()
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R. Osuna-Gómez: Universidad de Sevilla
B. Hernández-Jiménez: Universidad Pablo de Olavide
Y. Chalco-Cano: Universidad de Tarapacá
G. Ruiz-Garzón: Universidad de Cádiz

Fuzzy Optimization and Decision Making, 2018, vol. 17, issue 2, No 3, 177-193

Abstract: Abstract Fuzzy numbers have been applied on decision and optimization problems in uncertain or imprecise environments. In these problems, the necessity to define optimal notions for decision-maker’s preferences as well as to prove necessary and sufficient optimality conditions for these optima are essential steps in the resolution process of the problem. The theoretical developments are illustrated and motivated with several numerical examples.

Keywords: Fuzzy numbers; Crisp order relation; Interval order relation; Differentiable fuzzy mappings; Stationary fuzzy point; Fuzzy optimization (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10700-017-9269-9

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