Results 241 to 250 of about 9,456,266 (290)
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Fuzzy Sets and Systems, 1997
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Ju Pil Kim, Deok Rak Bae
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Ju Pil Kim, Deok Rak Bae
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Fuzzy Sets and Systems, 1999
The paper examines families of fuzzy groups [cf. \textit{M. Asaad, S. Abou-Zaid}, Fuzzy Sets Syst. 60, No. 3, 321-323 (1993; Zbl 0814.20061); \textit{J.-G. Kim}, Inf. Sci. 83, No. 3-4, 161-174 (1995; Zbl 0870.20057); \textit{M.~A.~A. Mishref}, J. Fuzzy Math. 6, No. 4, 811-819 (1998; Zbl 0922.20067)].
K. C. Gupta, B. K. Sarma
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The paper examines families of fuzzy groups [cf. \textit{M. Asaad, S. Abou-Zaid}, Fuzzy Sets Syst. 60, No. 3, 321-323 (1993; Zbl 0814.20061); \textit{J.-G. Kim}, Inf. Sci. 83, No. 3-4, 161-174 (1995; Zbl 0870.20057); \textit{M.~A.~A. Mishref}, J. Fuzzy Math. 6, No. 4, 811-819 (1998; Zbl 0922.20067)].
K. C. Gupta, B. K. Sarma
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Information Sciences, 1994
Quotients of fuzzy groups are examined by many authors [cf. e.g. \textit{N. P. Mukherjee, P. Bhattacharya}, Inf. Sci. 34, 225-239 (1984; Zbl 0568.20002), \textit{B. B. Makamba, V. Murali}, ibid. 59, 121-129 (1992; Zbl 0737.20041); \textit{N. Kuroki}, ibid. 60, 247-259 (1992; Zbl 0747.20038); \textit{N. Ajmal, A. S. Prajapati}, ibid.
Nehad N. Morsi, Samy El-Badawy Yehia
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Quotients of fuzzy groups are examined by many authors [cf. e.g. \textit{N. P. Mukherjee, P. Bhattacharya}, Inf. Sci. 34, 225-239 (1984; Zbl 0568.20002), \textit{B. B. Makamba, V. Murali}, ibid. 59, 121-129 (1992; Zbl 0737.20041); \textit{N. Kuroki}, ibid. 60, 247-259 (1992; Zbl 0747.20038); \textit{N. Ajmal, A. S. Prajapati}, ibid.
Nehad N. Morsi, Samy El-Badawy Yehia
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On Homomorphisms of Fuzzy Groups
Siberian Mathematical Journal, 2001A fuzzy group is a set with a binary multiplication \(*\) whose result \(a*b\) is a family of elements, each of which has a weight in \((0,1]\) with respect to \(a\) and \(b\) (i.e., in a fuzzy group, the result of multiplication is defined approximately up to some weight).
Dobritsa, V. P., Yakh'yaeva, G. Eh.
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Fuzzy Sets and Systems, 1999
The fuzzy subhypergroups of a hypergroup and the fuzzy \(H_v\)-group of an \(H_v\)-group are defined and studied in this paper. The most interesting result is the main theorem concerning the fundamental group of the underlying \(H_v\)-group. This result proves, once more, how interesting the fundamental relations in the study of hyperstructures are.
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The fuzzy subhypergroups of a hypergroup and the fuzzy \(H_v\)-group of an \(H_v\)-group are defined and studied in this paper. The most interesting result is the main theorem concerning the fundamental group of the underlying \(H_v\)-group. This result proves, once more, how interesting the fundamental relations in the study of hyperstructures are.
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A note on fuzzy relations and fuzzy groups
Information Sciences, 1991The paper characterizes groups G such that for any fuzzy subgroup R of \(G\times G\) the formula \(A_ R(x)=\sup_{y\in G}\min (R(x,y),R(y,x))\) gives a fuzzy subgroup of G. This corrects a result of \textit{P. Bhattacharya} and \textit{N. P. Mukherjee} [Inf. Sci. 36, 267-282 (1985; Zbl 0599.20003), Theorem 4.7].
D. S. Malik, John N. Mordeson
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Fuzzy Sets and Systems, 1996
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A. M. Abd-Allah, R. A. K. Omar
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A. M. Abd-Allah, R. A. K. Omar
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Fuzzy Sets and Systems, 1995
A fuzzy group \((G,\mu)\) is said to be continuous if \(G\) is a topological group and \(\mu: G\to [0,1]\) is continuous. The author defines a topological group \(G\) to be fuzzy trivial if all continuous functions \(\mu\) from \(G\) to \([0,1]\) such that \(\mu\) is a fuzzy subgroup of \(G\) are constants.
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A fuzzy group \((G,\mu)\) is said to be continuous if \(G\) is a topological group and \(\mu: G\to [0,1]\) is continuous. The author defines a topological group \(G\) to be fuzzy trivial if all continuous functions \(\mu\) from \(G\) to \([0,1]\) such that \(\mu\) is a fuzzy subgroup of \(G\) are constants.
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Fuzzy Sets and Systems, 2001
Based on a modification of the concept of metric fuzziness given by \textit{I. Kramosil} and \textit{J. Michálek} [Kybernetica, Praha 11, 336-344 (1975; Zbl 0319.54002)], \textit{A. George} and \textit{P. Veeramani} [Fuzzy Sets Syst. 64, No. 3, 395-399 (1994; Zbl 0843.54014)] introduced and studied a notion of fuzzy metric space which permits to extend
Salvador Romaguera, Manuel Sanchis
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Based on a modification of the concept of metric fuzziness given by \textit{I. Kramosil} and \textit{J. Michálek} [Kybernetica, Praha 11, 336-344 (1975; Zbl 0319.54002)], \textit{A. George} and \textit{P. Veeramani} [Fuzzy Sets Syst. 64, No. 3, 395-399 (1994; Zbl 0843.54014)] introduced and studied a notion of fuzzy metric space which permits to extend
Salvador Romaguera, Manuel Sanchis
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Fuzzy groups, fuzzy functions and fuzzy equivalence relations
Fuzzy Sets and Systems, 2004To each fuzzy subgroup a fuzzy equivalence relation is associated and it is proved that a fuzzy subgroup is normal if and only if the operation of the group is compatible with its associated fuzzy equivalence relation. In the definition of fuzzy subgroup only the subset is fuzzy whilst the group operation remains crisp.
Demirci, M, Recasens Ferrés, Jorge
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