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Issue:More on Intuitionistic fuzzy relations

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Title of paper: More on intuitionistic fuzzy relations
Author(s):
Annie Varghese
Department of Mathematics, St. Peter’s College, Kolencherry, Manithottathil, S. Marady P.O., Muvattupuzha, Kerala 686 673, India
anniestpc@gmail.com
Sunny Kuriakose
Principal, BPC College, Piravom, Kerala, India
Published in: "Notes on IFS", Volume 18 (2012) Number 2, pages 13—20
Download:  PDF (204  Kb, Info)
Abstract: 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.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy relation, Composition, Ordered reflexivity, Symmetry, Transitivity.
AMS Classification: 03E72.
References:
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  2. Mukerjee, R. Some observations on fuzzy relations over fuzzy subsets, Fuzzy Sets and Systems, Vol. 15, 1985, 249–254.
  3. Bustince, H., P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, Vol. 78, 1996, 293–303.
  4. Atanassov, K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
  5. Atanassov, K. More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 33, 1989, 37–45.
  6. Atanassov, K. Intuitionistic Fuzzy Sets, Physica-Verlag, Heidelberg, New York, 1999.
  7. Deschrijver, G., E. E. Kerre. On the composition of intuitionistic fuzzy relations, Fuzzy Sets and Systems, Vol. 136, 2003, 333–361.
  8. 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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