| 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.
|
|
