Fuzzy stabilities of a new hexic functional equation in various spaces

Abstract

The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space, Felbin’s fuzzy Banach space and intuitionistic fuzzy Banach space are presented, concerning the Ulam’s theory of stabilities of equations. To validate the stability results, experimental results are presented. Also, a comparative study of the results obtained in this investigation are provided.

Keywords

• functional equation
• hexic functional equation
• ulam stability
• fuzzy banach space
• felbin’s banach space
• intuitionistic fuzzy banach space
• primary 39b82
• secondary 39b72