| Title of paper:
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More on intuitionistic fuzzy relations
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| Author(s):
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| Annie Varghese
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| Department of Mathematics, St. Peter’s College, Kolencherry, Manithottathil, S. Marady P.O., Muvattupuzha, Kerala 686 673, India
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| anniestpc@gmail.com
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| Sunny Kuriakose
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| Principal, BPC College, Piravom, Kerala, India
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 2, pages 13—20
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| Download:
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 PDF (204 Kb, File info)
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| Abstract:
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In this paper, we extend the intuitionistic fuzzy relation defined on a crisp set to an intuitionistic fuzzy relation defined on an intuitionistic fuzzy set. Various properties like symmetry, reflexivity, transitivity etc. are studied.
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| Keywords:
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Intuitionistic fuzzy set, Intuitionistic fuzzy relation, Composition, Ordered reflexivity, Symmetry, Transitivity.
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| AMS Classification:
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03E72.
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| References:
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- Chakraborthy, M. K., M. Das, Studies in fuzzy relation over fuzzy subsets, Fuzzy Sets and Systems, Vol. 9, 1983, 79–89.
- Mukerjee, R. Some observations on fuzzy relations over fuzzy subsets, Fuzzy Sets and Systems, Vol. 15, 1985, 249–254.
- Bustince, H., P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, Vol. 78, 1996, 293–303.
- Atanassov, K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
- Atanassov, K. More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 33, 1989, 37–45.
- Atanassov, K. Intuitionistic Fuzzy Sets, Physica-Verlag, Heidelberg, New York, 1999.
- Deschrijver, G., E. E. Kerre. On the composition of intuitionistic fuzzy relations, Fuzzy Sets and Systems, Vol. 136, 2003, 333–361.
- Varghese, A., S. Kuriakose. Intuitionistic Fuzzy Relations – A new approach, Proceedings of the International Seminar on New trends in applications of Mathematics, Bharat Mata College, Thrikkakara, Cochin, Kerala, 2011.
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| Citations:
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