Mazur-Ulam theorem in intuitionistic fuzzy normed spaces

In this paper,  introducing the notion of intuitionistic strictly convex sets, and using functions that preserve equality of intuitionistic fuzzy distance, a new generalization of Mazur-Ulam theorem in intuitionistic fuzzy normed spaces is presented. Moreover, intuitionistic fuzzy isometries, segment-preserving functions, and norm-additive maps are used to study the prerequisites needed to prove the main theorem.

کلیدواژه ها:

Mazur-Ulam Theorem ، Intuitionistic fuzzy normed space ، Intuitionistic strictly convex sets ، Intuitionistic fuzzy distance