| Title of paper:
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Decomposition theorems of an intuitionistic fuzzy set
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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 IFS", Volume 18 (2012) Number 2, pages 31—36
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| Download:
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 PDF (164 Kb, File info)
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| Abstract:
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The (α, β) cut of an Intuitionistic Fuzzy Set (IFS) was studied by P. K. Sharma [4]. In this paper we introduce a new type of cut - strong (α, β) cut - of IFS and study their properties. Also three decomposition theorems are discussed..
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| Keywords:
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Intuitionistic fuzzy set, (α, β) cut, strong (α, β) cut.
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| AMS Classification:
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03E72.
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| References:
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- Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
- Dubois, D., H. Prade, Fundamentals of Fuzzy Sets, Kluwer Academic Publishers, Bosten, 2000.
- Klir, G. J., B. Yuan. Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall of India Private Limited, New Delhi, 2005.
- Sharma, P. K., (α, β) cut for Intuitionistic Fuzzy Groups, International Mathematical Forum, Vol. 6(53), 2011, 2605–2614.
- Zadeh, L.A., Fuzzy sets, Information and Control, Vol. 8, 1965, No. 3, 338–353.
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