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Fuzzy δ*-Continuity and Fuzzy δ**-Continuity on Fuzzy Topology on Fuzzy Sets

DOI: 10.4236/apm.2013.31018, PP. 138-141

Keywords: Fuzzy δ*-Continuity, Fuzzy δ**-Continuity, Quasi-Neighbourhood, Fuzzy δ-Open, Quasi-Coincident

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The concept of a fuzzy topology on a fuzzy set has been introduced in [1]. The aim of this work is to introduce fuzzy δ*-continuity and fuzzy δ**-continuity in this in new situation and to show the relationships between fuzzy continuous functions where we confine our study to some of their types such as, fuzzy δ-continuity, fuzzy continuity, after presenting the definition of a fuzzy topology on a fuzzy set and giving some properties related to it.


[1]  M. K. Chakraborty and T. M. G. Ahsanullah, “Fuzzy Topology on Fuzzy Sets and Tolerance Topology,” Fuzzy Set and Systems, Vol. 45, No. 1, 1990, pp. 103-108. doi:10.1016/0165-0114(92)90096-M
[2]  A. K. Chaudhari and P. Das, “Some Results on Fuzzy Topology on Fuzzy Sets,” Fuzzy Set and Systems, Vol. 56, No. 3, 1993, pp. 331-336. doi:10.1016/0165-0114(93)90214-3
[3]  A. M. Zahran, “Fuzzy δ-Continuous, Fuzzy almost Regularity (Normality) on Fuzzy Topology No Fuzzy Sets,” Fuzzy Mathematics, Vol. 3, No. 1, 1995, pp. 89-96.
[4]  M. K. Chakraborty and S. Sarkar, “On Fuzzy Functions, Homorelations, Homomophisms etc.,” proceeding, IFSAEURO, seminar, Warsaw, 1986.
[5]  M. K. Chakraborty, S. Sarkar and M. Das, “Some Aspects of [0,1]—Fuzzy Relation and a Few Suggestions towards Its Use,” In: Gupta, et al., Eds., Approximate Reasoning in Expert Systems, North-Holland, Amsterdam, 1985, pp. 156-159.


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