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Issue:Decomposition theorems of an intuitionistic fuzzy set: Difference between revisions

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  | author          = Annie Varghese
  | author          = Shiny Jose
  | institution    = Department of Mathematics, St. Peter’s College, Kolencherry
  | institution    = St. George’s College Aruvithura
  | address        = Manithottathil, S. Marady P.O., Muvattupuzha, Kerala 686 673, India
  | address        = Kerala, India
  | email-before-at =  anniestpc
  | email-before-at =  shinyjosedavis
  | email-after-at  =  gmail.com
  | email-after-at  =  gmail.com
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  | institution    = Principal, BPC College
  | institution    = Principal, BPC College
  | address        = Piravom, Kerala, India
  | address        = Piravom, Kerala, India
  | email-before-at =   
  | email-before-at =  asunnyk
  | email-after-at  =   
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Revision as of 17:45, 9 December 2012

shortcut
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 IFS", 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:
  1. Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
  2. Dubois, D., H. Prade, Fundamentals of Fuzzy Sets, Kluwer Academic Publishers, Bosten, 2000.
  3. Klir, G. J., B. Yuan. Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall of India Private Limited, New Delhi, 2005.
  4. Sharma, P. K., (α, β) cut for Intuitionistic Fuzzy Groups, International Mathematical Forum, Vol. 6(53), 2011, 2605–2614.
  5. Zadeh, L.A., Fuzzy sets, Information and Control, Vol. 8, 1965, No. 3, 338–353.
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