6533b7dafe1ef96bd126e383

RESEARCH PRODUCT

An Approach to the Concept of Soft Fuzzy Proximity

Vildan ÇEtkinHalis AygünAlexander P. ŠOstak

subject

Fuzzy classificationTheoretical computer scienceArticle SubjectMathematics::General MathematicsApplied MathematicsAstrophysics::High Energy Astrophysical Phenomenalcsh:MathematicsTopologylcsh:QA1-939DefuzzificationFuzzy logicComputingMethodologies_PATTERNRECOGNITIONComplete latticeFuzzy numberFuzzy set operationsClosure operatorFuzzy associative matrixComputingMethodologies_GENERALAnalysisComputingMilieux_MISCELLANEOUSMathematics

description

The purpose of this paper is to introduce the concept of soft fuzzy proximity. Firstly, we give the definitions of soft fuzzy proximity and Katsaras soft fuzzy proximity, and also we investigate the relations between the soft fuzzy proximity and slightly modified version of Katsaras soft fuzzy proximity. Secondly, we induce a soft fuzzy topology from a given soft fuzzy proximity by using soft fuzzy closure operator. Then, we obtain the initial soft fuzzy proximity from a given family of soft fuzzy proximities. So, we describe products in the category of soft fuzzy proximities. Finally, we show that a family of all soft fuzzy proximities on a given set constitutes a complete lattice.

yearjournalcountryeditionlanguage
2014-01-01Abstract and Applied Analysis
10.1155/2014/782583https://doaj.org/article/532bbab6239e4f268fd6d878488f4dce