Separation of fuzzy sets in fuzzy minimal spaces

M. Alimohammady and M. Roohi

Chaos, Solitons & Fractals, 2007, vol. 31, issue 1, 155-161

Abstract: This paper deals with the concepts of fuzzy minimal separation and fuzzy closed minimal separation. Some criterion for m-separatedness and Cm-separatedness of two fuzzy sets in a fuzzy minimal space are achieved. Further, it is shown that for any fuzzy sets C and D in Y, A×C and B×D are fuzzy m-separated (Cm-separated) in X×Y, if A and B are fuzzy m-separated (Cm-separated) sets in X. Moreover, c.A and c.B are fuzzy m-separated (Cm-separated) if and only if A and B are fuzzy m-separated (Cm-separated).

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:1:p:155-161

DOI: 10.1016/j.chaos.2005.09.033

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