Recently, researches have contributed a lot towards fuzzification of Soft Set Theory. In this paper, we introduce the topological structure of fuzzyfying soft sets called fuzzy parametrized fuzzy soft sets. We define the notion of quasi-coincidence for fuzzy parametrized fuzzy soft sets and investigated basic properties of it. We study the closure, interior, base, continuity and compactness in the content of fuzzy parametrized fuzzy soft topological spaces.
The purpose of this paper is to study ω-continuous multifunctions. Basic characterizations, preservation theorems and several properties concerning upper and lower ω-continuous multifunctions are investigated. Furthermore, some characterizations of ω-connectedness and its relations with ω-continuous multifunctions are given.
We introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated its basic properties. We study the closure, interior, base, continuity, and compactness and properties of these concepts in fuzzy parametrized soft topological spaces.
In this paper, we give some new characterizations of soft continuity, soft openness and soft closedness of soft mappings. We study restriction of a soft mapping and generalize the pasting lemma to the soft topological spaces. We also investigate the behavior of soft separation axioms under the soft continuous, open and closed mappings.
In 2020, r-near topological spaces on Near Approximation Spaces were introduced by Atmaca [1]. In this study, we introduce the concept of continuity on r-near topological spaces and examine some properties of it.
In this paper, we introduced the notion of inverse Fp soft set and studied some properties of it. Moreover, by using this new concept we characterized the continuity of Fp soft mappings and continuity of fuzzy soft mapping.
Abstract. We devise a framework which leads to the formulation of a unified theory of normality (regularity), semi-normality (semi-regularity), s-normality (s-regularity), feeblynormality (feebly-regularity), pre-normality (pre-regularity), and others. Certain aspects of theory are given by unified proof.
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