Mazur-Ulam theorem in intuitionistic fuzzy normed spaces

نویسندگان
Pourmoslemi, Alireza ID 1
Fallahi, Kamal ID 2
Fatemi Nezhad, Seiedeh Roghaye ID 3

1 Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697, Tehran, Iran

2 Javanroud Faculty of Management and Accounting, Razi University, Kermanshah, Iran

3 Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697, Tehran, Iran

doi
10.22075/ijnaa.2024.34107.5088
چکیده

 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.

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