Issue:Solution of intuitionistic fuzzy equation with extended operations

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http://ifigenia.org/wiki/issue:nifs/9/3/26-32

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, File 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.