Topological structure of fuzzy soft sets

Abstract

a b s t r a c tIn this paper, the concept of fuzzy soft topology is introduced and some of its structural properties such as neighborhood of a fuzzy soft set, interior fuzzy soft set, fuzzy soft basis, fuzzy soft subspace topology are studied.

Soft ideal topological space and mixed fuzzy soft ideal topological space

“…In 2005, Pei and Miao [17] and Chen [4] improved the work of Maji et al [10,11]. Some properties of soft topology studied by Hussai and Ahmed [7] and Tanay et al [20]. In 1968, C. L. Chang [3] introduced fuzzy topological space and in 2011, subsequently Ç aǧman et al [2] and Shabir et al [19] introduced fuzzy soft topological spaces and they defined basic notions of soft topological spaces such as soft open and closed sets, soft subspace, soft closure, soft neighbourhood of a point, soft T i spaces, i = 1, 2, 3, 4, soft regular spaces, and soft normal spaces and established their several properties.…”

Soft Vibrational Force on Stock Market Networks

“…By the arise of the theory its algebraic [8] [9] and topological [10] [11] properties, its relation with other theories [12]- [14], and also implicational feature of the theory [15]- [18] have been studied intensively. We refer [19] to the interested readers for soft set theoretical analogues of the basic set operations.…”

Initial Soft L-Fuzzy Preproximities

“…Pawlak's rough set [12,13] can be viewed as a special case of soft rough sets [4]. The topological structures of soft sets have been developed by many researchers [2,[7][8][9][15][16][17].…”