A topological view on application of L-fuzzy soft sets: Compactness

Gradation of Continuity for Fuzzy Soft Mappings

“…Motivated from this thinking, we found it reasonable to present a new theory which gives a more accurate and efficient way of transforming the characteristics between the fuzzy soft topological spaces depending on the parameters. us, as a continuation of the research studies [14][15][16], we describe the parameterized gradations of continuity, openness, and closedness for mappings between fuzzy soft topological spaces. e content of this study is organized in the following manner: in Section 2, we present the notations and recall the elementary notions which are used throughout the study.…”

(L,⊙)-Fuzzy (K,E)-Soft Filter

“…Aygüno ǧlu et al [14] presented the notion of (L, )-fuzzy (K, E)-soft topology in the sense of Šostak [15]. Many concepts in fuzzy topological spaces in the sense of Chang [16] and in the sense of Šostak [15] were extended to fuzzy soft theory (see [17][18][19][20][21][22][23][24]).…”

On measures of parameterized fuzzy compactness

“…ThenŠostak [25] introduced the compactness degree of an L-fuzzy set in the case L = I. Later Li et al [12] observed the fuzzy compactness degree in L-fuzzy topological spaces and Ç etkin et al [7] introduced the parameterized compactness of a fuzzy soft set in the parameterized fuzzy topological spaces.…”