Bornological spaces in the context of fuzzy soft sets

Author:

Çetkin Vildan1

Affiliation:

1. Department of Mathematics, Kocaeli University, Kocaeli, Turkey

Abstract

The aim of this study is to present the concept of an (L,M)-fuzzy (E,K)-soft bornology as a parameterized extension of the LM-valued bornology. By this way, we describe the notions of boundedness and the parameterized degree of boundedness for L-fuzzy soft sets. We examine several fundamental properties of the proposed structures. In addition, we induce a (2,M)-fuzzy (E,K)-soft bornology in a given (2,M)-fuzzy (E,K)-soft topological space with the help of the measures of compactness of a soft set.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference25 articles.

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2. B. Ahmad, A. Kharal, On fuzzy soft sets, Adv. Fuzzy Syst. 2009 (2009) Article ID 586507.

3. T.M. Al-shami, Lj.D.R. Kočinac, The equivalence between the enriched and extended soft topologies, Appl. Comput. Math 18 (2019) 149-162.

4. A. Aygünoğlu, H. Aygün, Introduction to fuzzy soft groups, Comput. Math. Appl. 58 (2009) 1279-1286.

5. A. Aygünoğlu, V. Çetkin, H. Aygün, An Introduction to fuzzy soft topological spaces, Hacet. J. Math. Stat. 43 (2014) 197-208.

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