Abstract
In this paper, we define fuzzy soft ordered Banach algebra with fuzzy soft algebra cone, and introduce the character on fuzzy soft ordered Banach algebra in both cases real and complex. Also, we deduce some of its basic properties and we define a new concept which is a maximal fuzzy soft algebra cone and showing that the set of all fuzzy soft character is isomorphism to the set of all maximal fuzzy soft algebra cone. we prove that the set of all real characters is convex and extreme point, we applied Gelfand- Mazur theorem on fuzzy soft Banach algebra, we showed that character (the set of all complex continuous character) is fuzzy soft ordered Banach algebra. with inverse –closed algebra cone ̆ and a non-zero element in ̆ has inverse we have is an isomorphism to Banach space ( ̆)
Highlights
We deduce some of its basic properties and we define a new concept which is a maximal fuzzy soft algebra cone and showing that the set of all fuzzy character is isomorphism to the set of all maximal fuzzy soft algebra cone
We prove that the set of all real F Sx−characters is convex and extreme point, we applied Gelfand-Mazur theorem on fuzzy soft Banach algebra, we showed that F Sx−character is fuzzy soft ordered Banach algebra
Any F Sx-OBA with inverse -closed F Sx-algebra cone Cand a non-zero element in Ahas inverse we have it is an isomorphism to Banach space Ch(C)
Summary
Let V be a vector space and ∗ is a continuous t−norm and B is a fuzzy set on. V × (0, ∞), (V, B, ∗) is said to be fuzzy normed space if satisfies the following conditions for every a, b ∈ V and t, k ∈ (0, ∞):. Let B is a universe and E be a set of parameters and Ix is denote to the set of all fuzzy sets of X, a pair (ISx, E) is called a fuzzy soft set over X. A fuzzy soft subset on F Sx(V )×R⋆ is said to be fuzzy soft norm on the fuzzy soft vector space Vif N satisfies the following conditions: for all a, ̆b∈ ̆ F Sx(V ) and t, k ∈ R⋆(E) (i) N (a, t) = 0, for all t≤ ̆ ̆0. There is a unique isomorphism from A in to C
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
