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http://ifigenia.org/wiki/issue:nifs/3/5/126-137
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| Title of paper:
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Role of clans in the proximaties of intuitionistic fuzzy sets
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| Author(s):
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| S. K. Samanta
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| Department of Mathematics, Visva-Bharati University, Santiniketan-731235, W.Bengal, India
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| K. C. Chattopadhyay
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| Department of Mathematics, Burdwan University, Burdwan-713104, W.Bengal, India
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| U. K. Mukherjee
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| Department of Mathematics, Burdwan University, Burdwan-713104, W.Bengal, India
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| Tapas Kumar Mondal
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| Department of Mathematics, Visva-Bharati University, Santiniketan-731235, W.Bengal, India
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| Published in:
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"Notes on IFS", Volume 3 (1997) Number 5, pages 126—137
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| Download:
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 PDF (5016 Kb, Info)
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| Abstract:
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Definitions of filters, grills, clans and proximities are given in intuitionistic fuzzy setting. It. is proved that proximities of intuitionistic fuzzy sets is a clan generated structure
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| Keywords:
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Intuitionistic fuzzy sets, filters, grills, clans and proximities of intuitionistic fuzzy sets
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| References:
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- K. Atauassov and S.Stoeva, Intuitionistic fuzzy sets, Proc. of Polish Symp. on Interval and Fuzzy Mathematics. Poznan (Aug. 1983) 23-26.
- K. Atanassov. Intuitionistic fuzzy sets, Fuzzy Sets and Systems. 20 (1) (1986) 87-96.
- K. Atanassov. Review and new results on intuitionistic fuzzy sets, Preprint IM-MFAIS-1-88. Sofia, 1988.
- K. Atanassov. New operators defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61 (2) (1993) 431-142.
- P.Buriilo. H.Bustince, Two operators on interval-valued intuitionistic fuzzy sets : Part I. Comptes rendus de l'Academie bulgare des Sciences, Tome 47, N°12, 1994.
- P.Burillo, H.Bustince, Two operators on interval-valued intuitionistic fuzzy sets : Part II. Comptes rendus de l'Academie bulgare des Sciences, Tome 48, N°l, 1995.
- K. Chattopadhyah, U.K.Mukherjee, S.K.Samanta, Role of clans in the Proximities of fuzzy sets. The Journal of Fuzzy Mathematics 4 (1996), No-3.
- Dogan Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997) 81-89.
- Dogan Coker, An introduction to Fuzzy Sub-spaces in Intuitionistic Fuzzy Topological Spaces. The Journal of Fuzzy Mathetatics Vol.4 No.4, 1996 749-764.
- S.K.Samanta and Tapas Kumar Mondal, Intuitionistic gradation of openness : Intuitionistic fuzzy topology. Communicated to "Fuzzy Sets and Systems".
- Tapas Kumar Mondal and S.K.Samanta, Topology of interval-valued intuitionistic fuzzy sets. Communicated to "Fuzzy Sets and Systems".
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