Issue:Decomposition theorems of an intuitionistic fuzzy set

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http://ifigenia.org/wiki/issue:nifs/18/2/31-36

Title of paper: Decomposition theorems of an intuitionistic fuzzy set Author(s): Shiny Jose St. George’s College Aruvithura, Kerala, India shinyjosedavis@gmail.com Sunny Kuriakose Principal, BPC College, Piravom, Kerala, India asunnyk@gmail.com Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 2, pages 31—36 Download:  PDF (164  Kb, File info) Abstract: 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.. Keywords: Intuitionistic fuzzy set, (α, β) cut, strong (α, β) cut. AMS Classification: 03E72. References: 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. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.