Fuzzy optimizations of convex fuzzy mappings in the quotient space of fuzzy numbers

Article type: Research Article

Authors: Qiu, Dong^* | Li, Hua

Affiliations: School of Science, Chongqing University of Posts and Telecommunications, Nanan, Chongqing, P.R. China

Correspondence: [*] Corresponding author. Dong Qiu, School of Science, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, P.R. China. Tel.: +8615123126186; Fax: +862362471796; E-mail: [email protected].

Abstract: In this paper, on the basis of an order in the quotient space of fuzzy numbers, the concepts of gradient and convexity of fuzzy mappings are presented. Then, the fuzzy optimizations of differentiable fuzzy mappings and convex fuzzy mappings are discussed and some examples are provided to illustrate the main results.

Keywords: Fuzzy optimizations, fuzzy numbers, convex fuzzy mappings, quotient space

DOI: 10.3233/IFS-162188

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1235-1244, 2016