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On Interval-Valued Supra-Fuzzy Syntopogenous Structure

F. M. Sleim and Heba I. Mustafa

Mathematical Problems in Engineering, 2012, vol. 2012, 1-8

Abstract:

A new definition of interval-valued supra-fuzzy syntopogenous (resp., supra-fuzzy proximity) space is given. We show that for any interval-valued fuzzy syntopogenous structure , there is another interval-valued fuzzy syntopogenous structure called the conjugate of . This leads to introducing the concept of interval-valued bifuzzy syntopogenous space. Finally, we show every interval-valued bifuzzy syntopogenous space induces an interval-valued fuzzy supra-syntopogenous space. Throughout this paper, the family of all fuzzy sets on nonempty set will be denoted by and the family of all interval-valued fuzzy sets on a nonempty set will be denoted by .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:854942

DOI: 10.1155/2012/854942

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