Generalized convexity of n-dimensional fuzzy number-valued functions and its application in fuzzy optimization

Article type: Research Article

Authors: Wu, Zezhong^{; *} | Song, Fei

Affiliations: School of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China

Correspondence: [*] Corresponding author. Zezhong Wu, School of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China. E-mail: [email protected].

Abstract: In this paper, we mainly introduced the invexity and generalized invexity of n-dimensional fuzzy number-valued functions based on the new ordering which defined by Gong and Hai in [9]. Simultaneously, we discussed the relationship between semicontinuous and preinvex fuzzy number-valued functions, and some properties among invexity and generalized invexity of n-dimensional fuzzy number-valued functions. Finally, we studied the necessary and sufficient conditions for weakly efficient point of fuzzy optimization.

Keywords: Invex fuzzy number-valued functions, n-dimensional fuzzy number, fuzzy optimization, semicontinuity, Gordan’s Theorem

DOI: 10.3233/JIFS-190370

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 1889-1900, 2020