σ-Algebra and σ-Baire in Fuzzy Soft Setting

Abstract

We first introduce some new notions of Baireness in fuzzy soft topological space (FSTS). Next, their characterizations and basic properties are investigated in this work. The notions of fuzzy soft dense, fuzzy soft nowhere dense, fuzzy soft meager, fuzzy soft second category, fuzzy soft residual, fuzzy soft Baire, fuzzy soft −sets, fuzzy soft −sets, fuzzy soft −nowhere dense, fuzzy soft −meager, fuzzy soft −residual, fuzzy soft −Baire, fuzzy soft −second category, fuzzy soft −residual, fuzzy, fuzzy soft submaximal space, fuzzy soft −space, fuzzy soft almost resolvable space, fuzzy soft hyperconnected space, fuzzy soft −embedded, fuzzy soft −Baire, fuzzy soft almost −spaces, fuzzy soft Borel, and fuzzy soft −algebra are introduced. Furthermore, several examples are shown as well.

On permutation G-part in permutation Q-algebras

“…Different fields [5][6][7][8][9][10][11][12] examine symmetric and alternating groups, as well as their permutations. Some kinds of pure mathematics using different types of the sets, such as permutation sets 13 , fuzzy sets [14][15][16][17][18][19][20] , and soft sets [21][22][23][24][25][26] , have been researched and their properties debated and discussed their properties in recent years.…”

A study of neutrosophic regular generalized b-closed sets in neutrosophic topological spaces

“…In 2020, (NTS introduced and investigated the connotation of a . Some non-clasical sets like, soft [8][9][10][11][12][13] , fuzzy [14][15][16][17] , nano 18 , permutation [19][20][21][22][23][24][25][26] , and other sets in different fields [27][28][29][30][31][32][33][34]…”

Some properties of the circulant graphs

“…Permutations in groups are studied in a variety of domains 5,6,7,8,9,10,11,12 . Many types of non-classical sets in topology, groups, and algebras, including as permutation sets 13,14,15,16,17,18,19,20 , fuzzy 21,22,23,24,25,6,27,28,29,30,31,32 , soft 33,34,35,36,37,38,39,40 , nano sets 41 , neutrosophic sets 42,43,44,45,46,47,48,49 , and others 50,51 have examined and addressed some notions and features.…”