| Title of paper:
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A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies
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| Author(s):
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| Lalla Saadia Chadli
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| LMC, Faculty of Sciences and Technology, PO Box 523, 23000 Beni Mellal Morocco
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| chadli@fstbm.ac.ma
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| Said Melliani
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| LMC, Faculty of Sciences and Technology, PO Box 523, 23000 Beni Mellal Morocco
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| melliani@fstbm.ac.ma
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| Presented at:
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Seventh International Conference on IFSs, Sofia, 23-24 August 2003
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 9 (2003) Number 3, pages 26-32
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| Download:
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 PDF (125 Kb, File info)
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| Abstract:
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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.
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| References:
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- 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.
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| Citations:
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