Some aspects of fuzzy (b,$\theta$)-open sets in fuzzy topology
DOI:
https://doi.org/10.5269/bspm.66026Resumo
The purpose of this article is to define fuzzy (b,$\theta$)-quasi neighbourhood using the concept of fuzzy (b,$\theta$)-open sets introduced by Dutta and Tripathy with some structural properties by defining the (b,$\theta$)-cluster point in a dierent way. Moreover, our second objective is to introduce the notion of fuzzy (b,$\theta$)-continuous functions and fuzzy strongly (b,$\theta$)-continuous functions using this type of nearly open sets and to establish several characterizations.
Referências
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[2] C. L. Chang, Fuzzy Topological Spaces, J. Math. Anal. Appl., 24(1968), 182-190.
[3] M. Ali. Dewan, A note on fuzzy regularity concepts, Fuzzy sets and Systems, 35(1990), 101-104.
[4] A. Dutta and B.C. Tripathy, On fuzzy b-0 open sets in fuzzy topological spaces, J. Intelligent and Fuzzy Systems (In Press).
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[6] Z. Salleh and N. A. F. Abdul Wahab, 0-semi-generalised closed sets in fuzzy topological spaces, Bull. Malays. Math. Sci. Soc., R1 (2012), 9-17.
7. H. Sengul and M. Et, Lacunary statistical convergence of order (_, _) in topological groups, Creat. Math. Inform., 26(2017), no. 3, 339-344, https://doi.org/10.37193/CMI.2017.03.11 .
[8] L. A. Zadeh, Fuzzy sets, Inform Control, 8(1965), 338-353.
[2] C. L. Chang, Fuzzy Topological Spaces, J. Math. Anal. Appl., 24(1968), 182-190.
[3] M. Ali. Dewan, A note on fuzzy regularity concepts, Fuzzy sets and Systems, 35(1990), 101-104.
[4] A. Dutta and B.C. Tripathy, On fuzzy b-0 open sets in fuzzy topological spaces, J. Intelligent and Fuzzy Systems (In Press).
[5] P. P. Ming and L. Y. Ming, Fuzzy topology, I, Neighbourhood structure of fuzzy point and Moore - Smith Convergence, J. Math. Anal. Appl., 76(1980), 571-599.
[6] Z. Salleh and N. A. F. Abdul Wahab, 0-semi-generalised closed sets in fuzzy topological spaces, Bull. Malays. Math. Sci. Soc., R1 (2012), 9-17.
7. H. Sengul and M. Et, Lacunary statistical convergence of order (_, _) in topological groups, Creat. Math. Inform., 26(2017), no. 3, 339-344, https://doi.org/10.37193/CMI.2017.03.11 .
[8] L. A. Zadeh, Fuzzy sets, Inform Control, 8(1965), 338-353.
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2024-05-17
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