| Title of paper:
|
A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies
|
| Author(s):
|
| Lalla Saadia Chadli
|
| LMC, Faculty of Sciences and Technology, PO Box 523, 23000 Beni Mellal Morocco
|
| chadli@fstbm.ac.ma
|
| Said Melliani
|
| LMC, Faculty of Sciences and Technology, PO Box 523, 23000 Beni Mellal Morocco
|
| melliani@fstbm.ac.ma
|
|
| Presented at:
|
Seventh International Conference on IFSs, Sofia, 23-24 August 2003
|
| Published in:
|
"Notes on IFS", Volume 9 (2003) Number 3, pages 26-32
|
| Download:
|
 PDF (125 Kb, Info)
|
| Abstract:
|
Assuming that ∗ is any operation defined on a product set X × Y and taking values on a set Z, it can be extended to intuitionistic fuzzy sets by means of the extended form of the Zadeh's extension principle for the intuitionistic fuzzy sets. Given an IFS C of Z, it is here shown how to solve the equation A ∗ B = C (or A ∗ B ⊆ C) when an intuitionistic fuzzy subset A of X (or an intuitionistic fuzzy subset B of Y) is given.
|
| References:
|
- K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg, (1999).
- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
- K. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33 (1989) 37-46.
- K. Atanassov, New operations defined over intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61 (1994) 137-142.
- P. Burillo and H. Bustence, Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems, 78 (1996) 305-316.
- P. Burillo and H. Bustence, Orderings in the referential set induced by an intuitionistic fuzzy relations, Notes on NIFS, 1 (1995) 93-103.
- H. Bustence and P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems, 78 (1996) 293-303.
- S. Melliani, Semi linear equation with fuzzy parameters, Lecture Notes in Computer Sciences, 1711 (1999) 271{275.
- S. Nanda, On sequences of fuzzy numbers, Fuzzy Sets and Systems, 33 (1989) 123-126.
- E. Sanchez, Solution of fuzzy equations with extended operations, Fuzzy Sets and Systems, 12 (1984) 237-248.
- E. Sanchez, Resolution of composite fuzzy relation equations, Information and Control, 30 (1976) 38-48.
- W. Xizhao, Z. Zimian and H. Minghu, Iteration algorithms for solving a system of fuzzy linear equations, Fuzzy Sets and Systems , 119 (2001) 121-128.
- L. A. Zadeh, 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.
|
|
