M-fuzzifying geodesic interval operators

Article type: Research Article

Authors: Shi, Fu-Gui^{a; b} | Wang, Kai^{a; b; *}

Correspondence: [*] Corresponding author: Kai Wang. Tel.: +13126988933; E-mail: [email protected].

Abstract: In this paper, the concept of M-fuzzifying geodesic interval operators is introduced in M-fuzzifying metric spaces. It is a generalization of geodesic interval operators in metric spaces. And an M-fuzzifying geometric characterization of M-fuzzifying geodesic interval operators is obtained. Based on M-fuzzifying geodesic interval operators, M-fuzzifying geodesic convexities can be induced.

Keywords: M-fuzzifying metric, M-fuzzifying convexity, M-fuzzifying geodesic interval operator, fuzzy partial order

DOI: 10.3233/JIFS-17617

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 6, pp. 4269-4277, 2018