Decomposition of fuzzy continuity and fuzzy ideal continuity via fuzzy idealization

A.M. Zahran, S.E. Abbas, S.A. Abd El-baki and Y.M. Saber

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 3064-3077

Abstract: Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy α-I-open and r-fuzzy β-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy α-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Ŝostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal α-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:3064-3077

DOI: 10.1016/j.chaos.2009.04.010

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