On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity

Arafa A. Nasef and E. Hatir

Chaos, Solitons & Fractals, 2009, vol. 40, issue 3, 1185-1189

Abstract: Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and E-infinity space time theory. In this paper, we introduce and study the notion of fuzzy pre-I-open sets, which is properly placed between fuzzy openness and fuzzy pre-openness regardless the fuzzy topological ideal. Moreover, we give a decomposition of fuzzy I-continuity by proving that a function f:(X,τ,I)→(Y,σ) is fuzzy I-continuous if and only if it is fuzzy pre-I-continuous and fuzzy ∗-I-continuous.

Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:3:p:1185-1189

DOI: 10.1016/j.chaos.2007.08.073

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