Several concepts of continuity in fuzzy m-space
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In this paper, we first introduce some open and closed sets in fuzzy $m$-space and give some interrelations between them. Afterwards, different types of continuity between fuzzy $m$-spaces have been introduced and characterized and also found the mutual relationships among themselves. Again different types of fuzzy $m$-compact spaces, fuzzy $m$-$s$-closed space and fuzzy $s$-Urysohn space are introduced and have shown that images of different types of fuzzy $m$-compact spaces under the functions defined in Section 4 are fuzzy $m$-$s$-closed space.
Abstract
In this paper, we first introduce some open and closed sets in fuzzy $m$-space and give some interrelations between them. Afterwards, different types of continuity between fuzzy $m$-spaces have been introduced and characterized and also found the mutual relationships among themselves. Again different types of fuzzy $m$-compact spaces, fuzzy $m$-$s$-closed space and fuzzy $s$-Urysohn space are introduced and have shown that images of different types of fuzzy $m$-compact spaces under the functions defined in Section 4 are fuzzy $m$-$s$-closed space.
참고문헌 (8)
- M. Alimohammady, "Fuzzy minimal structure and fuzzy minimal vector spaces", Chaos, Solitons and Fractals, 27, pp.599~605 (2006)
- A. Bhattacharyya, "Fuzzy upper and lower M-continuous multifunctions, Vasile Alecsandri, University of Bacau, Faculty of Sciences, Scientific Studies and Research", Series Mathematics and Informatics, 21(2), pp.125~144 (2015)
- M. Brescan, "On quasi-irresolute functions in fuzzy minimal structures, BULETINUL Universitatii Petrol Gaze din Ploiesti", Seria Matematica-Informatica-Fizica, LXII(1), pp.19~25 (2010)
- C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24, pp.182~190 (1968)
- S. Ganguly, "A note on compactness in fuzzy setting", Fuzzy Sets and Systems, 34, pp.117~124 (1990)
- M.J. Nematollahi, "Fuzzy minimal structures and fuzzy minimal subspaces", Italian Journal of Pure and Applied Mathematics, 27, pp.147~156 (2010)
- Pao Ming Pu, "Fuzzy topology I. Neighbourhood structure of a fuzzy point and Moore-Smith Convergence", J. Math Anal. Appl, 76, pp.571~599 (1980)
- L. A. Zadeh, "Fuzzy Sets", Informatin and Control, 8, pp.338~353 (1965)