The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function

Abstract

In this article we introduce the sequence spaces χ 2q f µ , (d (x 1 , 0) , d (x 2 , 0) , • • • , d (x n−1 , 0)) p I(F) and Λ 2q f µ , (d (x 1 , 0) , d (x 2 , 0) , • • • , d (x n−1 , 0)) p I(F) , associated with the integrated sequence space defined by Musielak. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces.

Fuzzy Continuous and Fuzzy Bounded Linear Operators Over Anti-Fuzzy Fields

“…In 2022, Chandra, Srivastava, and Sinha [6]; Srivastava, Sinha and Chandra [17] introduced 2-norm and 2-inner product on fuzzy linear spaces over fuzzy field. For more recent work of the area under study, we refer to [7,12,13,14,15,16]. In the present paper we introduce the idea of anti-norm and anti-inner product function on anti-fuzzy linear space over anti-fuzzy field and also given fuzzy continuous and fuzzy bounded linear operators on anti-fuzzy linear space over anti-fuzzy field.…”

The Intuitionistic Triple χ of Ideal Fuzzy Real Numbers over p−Metric Spaces Defined by Musielak Orlicz Function

“…Some initial work on double series is found in Apostol [1] and double sequence spaces is c 2018 Asia Pacific Journal of Mathematics found in Hardy [7], Subramanian et al [8][9][10][11][12][13][14], and many others. Later on investigated by some initial work on triple sequence spaces is found in Sahiner et al [15] , Esi et al [2][3][4][5][6], Subramanian et al [16][17][18][19][20][21][22][23][24][25] and others [31][32][33].…”