Title of paper:
|
On intuitionistic fuzzy sets
|
Author(s):
|
Supriya Kumar De
|
Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
|
|
Ranjit Biswas
|
Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
|
|
Akhil Ranjan Roy
|
Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
|
|
|
Presented at:
|
1st ICIFS, Sofia, 18—19 Oct. 1997
|
Published in:
|
Conference proceedings, "Notes on IFS", Volume 3 (1997) Number 4, pages 14—20 Mistakenly republished in the conference proceedings of the 2nd ICIFS, Sofia, 3—4 Oct. 1998 in "Notes on IFS", Volume 4 (1998) Number 2, pages 14—20
|
Download:
|
PDF (209 Kb, File info)
|
Abstract:
|
In this paper we define α-cut of an IFS, nearest ordinary set of an IFS, distance between two IFSs, index of intuitionistic fuzziness and study their properties with examples.
|
Keywords:
|
Fuzzy set, Intuitionistic fuzzy set, α-cut, Nearest ordinary set, Index of intuitionistic fuzziness
|
References:
|
- Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems. 20 (1986) 87-96.
- Atanassov, K., Two operators on intuitionistic fuzzy sets, Comptes Rendus de l'Academic Bulgare des Sciences 41(5) (1988) 35-38.
- Atanassov, K., More on intuitionistic fuzzy sets, Fuzzy sets and Systems. 33 (1989) 37-46.
- Atanassov, K., A universal operator over intuitionistic fuzzy sets, Comptes Rendus de l'Academic Bulgare des Sciences. 46 (1) 1993 13-15.
- Atanassov, K., New operations defined over intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61 (1994) 137-142.
- Atanassov, K. and Georgiev, C., Intuitionistic fuzzy Prolog, Fuzzy Sets and Systems. 53 (1993) 121-128.
- Bassu, K., Deb, R. and Pattanaik, P.K., Soft sets: An ordinal formulation of vagueness with some applications to the theory of choice, 45 (1992) 45-88.
- Biswas, R., Square zero (2): reducing vagueness in zero (0), to appear in Bull. Pour. Sous. Ens. Flous. Appl. (BUSEFAL).
- Biswas, R., Similarity measurements in IFSs, Notes on IFSs, 2(3) (1996) 5-14.
- Biswas, R., Intuitionistic fuzzy relations, in Bull. Sous. Ens. Flous. Appl. (BUSEFAL) 70 (1997).
- Burillo, P. and Bustince, H., Construction theorems for intuitionistic fuzzy sets, Fuzzy Sets and Systems, 84 (1996) 271-281.
- Dubois, D. and Prade, H., Twofold fuzzy sets and rough sets: some issues in knowledge representation, Fuzzy Sets and Systems 23 (1987) 3-18.
- Dubois, D. and Prade, H., Toll sets and toll logic in fuzzy logic: State of the Art, R. Lowen and M. Roubens eds., Dordrecht: Kluwer Aea. Publisher (to appear).
- Goguen, J.A., L-fuzzy sets, Jou. Maths. Anal. Appl. 18 (1967) 145-174.
- Hirota, K., Concepts of probabilistic sets, Fuzzy Sets and Systems 5(1) (1981) 31-46.
- Mizumto, M. and Tanaka, K., Some properties of fuzzy sets of type 2., Info. and Control. 31 (1976) 312-340.
- Zadeh, L.A., Fuzzy sets, Information and Control. 8 (1965) 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.
|
|