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

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DOI: 10.4236/apm.2013.31018    3,590 Downloads   5,732 Views   Citations


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.

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The authors declare no conflicts of interest.

Cite this paper

M. Hussan, "Fuzzy δ*-Continuity and Fuzzy δ**-Continuity on Fuzzy Topology on Fuzzy Sets," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 138-141. doi: 10.4236/apm.2013.31018.


[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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