An application of continuous fuzzy multifunctions
In this paper, the upper and lower δ-continuous multifunctions in fuzzy setting have been presented as a strong form and an application of fuzzy continuous multifunctions. Certain characterizations and several properties of these fuzzy multifunctions along with their mutual relationships are obtaine...
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Published in: | Chaos, solitons and fractals Vol. 17; no. 5; pp. 833 - 841 |
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Format: | Journal Article |
Language: | English |
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01-08-2003
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Abstract | In this paper, the upper and lower
δ-continuous multifunctions in fuzzy setting have been presented as a strong form and an application of fuzzy continuous multifunctions. Certain characterizations and several properties of these fuzzy multifunctions along with their mutual relationships are obtained. Attempts are also made to correlate this new class with the corresponding known types of fuzzy multifunctions. Also, applicability of the above new concepts to superstrings and
E
(∞)
space time could be probably possible in the near future. |
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AbstractList | In this paper, the upper and lower
δ-continuous multifunctions in fuzzy setting have been presented as a strong form and an application of fuzzy continuous multifunctions. Certain characterizations and several properties of these fuzzy multifunctions along with their mutual relationships are obtained. Attempts are also made to correlate this new class with the corresponding known types of fuzzy multifunctions. Also, applicability of the above new concepts to superstrings and
E
(∞)
space time could be probably possible in the near future. |
Author | Mahmoud, R.A. |
Author_xml | – sequence: 1 givenname: R.A. surname: Mahmoud fullname: Mahmoud, R.A. email: ramahmoud@yahoo.com organization: Department of Mathematics, Faculty of Science, Mcnoufia University, Egypt |
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Copyright | 2003 Elsevier Science Ltd |
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DOI | 10.1016/S0960-0779(02)00140-6 |
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EndPage | 841 |
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References_xml | – volume: 121 start-page: 1585 year: 1974 end-page: 1588 ident: BIB10 article-title: Applications of fuzzy algorithms for control of a simple dynamic plant publication-title: Proc. IEEE contributor: fullname: Mamdani – volume: 16 start-page: 161 year: 1980 end-page: 166 ident: BIB13 article-title: On publication-title: J. Korean Math. Soc. contributor: fullname: Noiri – volume: 6 start-page: 163 year: 1996 end-page: 169 ident: BIB17 article-title: Some properties of publication-title: Univ. Din Bacau Studii Si Cercetari Stintifice Seria Math. contributor: fullname: Popa – year: 1997 ident: BIB8 article-title: Fuzzy set theory (foundations and applications) contributor: fullname: Yuan – year: 1991 ident: BIB21 article-title: Fuzzy set theory and its applications contributor: fullname: Zimmermann – volume: 41 start-page: 13 year: 1991 end-page: 125 ident: BIB11 article-title: On almost continuous and weakly continuous fuzzy multifunctions publication-title: Fuzzy Sets Syst. contributor: fullname: Malakar – volume: 15 start-page: 83 year: 1984 end-page: 88 ident: BIB18 article-title: On publication-title: Indian J. Pure Appl. Math. contributor: fullname: Vamanamurthy – volume: 24 start-page: 182 year: 1968 end-page: 190 ident: BIB2 article-title: Fuzzy topological spaces publication-title: J. Math. Anal. Appl. contributor: fullname: Chang – volume: 77 start-page: 20 year: 1980 end-page: 37 ident: BIB15 article-title: Fuzzy topology, II. Product and quotient spaces publication-title: J. Math. Anal. Appl. contributor: fullname: Liu – volume: 9 start-page: 517 year: 1998 end-page: 529 ident: BIB3 article-title: On uncertainty of Cantorian geometry and the two-slit experiment publication-title: Chaos, Solitons & Fractals contributor: fullname: El Naschie – volume: 34 start-page: 245 year: 1990 end-page: 254 ident: BIB12 article-title: On some near-fuzzy continuous functions between fuzzy topological spaces publication-title: Fuzzy Sets Syst. contributor: fullname: Sinha – volume: 76 start-page: 571 year: 1980 end-page: 599 ident: BIB14 article-title: Fuzzy topology, I. Neighbourhood structure of a fuzzy point and Moore–Smith convergence publication-title: J. Math. Anal. Appl. contributor: fullname: Liu – volume: 82 start-page: 14 year: 1981 end-page: 32 ident: BIB1 article-title: On fuzzy semicontinuity fuzzy almost continuity and fuzzy weak continuity publication-title: J. Math. Anal. Appl. contributor: fullname: Azad – volume: 45 start-page: 512 year: 1974 end-page: 521 ident: BIB20 article-title: Fuzzy topology: product and quotient theorems publication-title: J. Math. Anal. Appl. contributor: fullname: Wong – volume: 28 start-page: 587 year: 1995 end-page: 595 ident: BIB9 article-title: On some characterizations of continuous publication-title: Demonstration Math. contributor: fullname: Küçük – volume: 2 start-page: 2397 year: 2000 end-page: 2407 ident: BIB4 article-title: On the verifications of heterotic strings theory and publication-title: Chaos, Solitons & Fractals contributor: fullname: El Naschie – volume: 109 start-page: 397 year: 1985 end-page: 425 ident: BIB16 article-title: Fuzzy topology and fuzzy multifunctions publication-title: J. Math. Anal. Appl. contributor: fullname: Papagcorgiou – volume: 78 start-page: 103 year: 1968 end-page: 118 ident: BIB19 article-title: H-closed topological spaces publication-title: Am. Math. Soc. Trans. contributor: fullname: Velieko |
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Snippet | In this paper, the upper and lower
δ-continuous multifunctions in fuzzy setting have been presented as a strong form and an application of fuzzy continuous... |
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Title | An application of continuous fuzzy multifunctions |
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