Topic
Fuzzy associative matrix
About: Fuzzy associative matrix is a research topic. Over the lifetime, 8027 publications have been published within this topic receiving 194790 citations.
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TL;DR: An eigenvector method is proposed to generate interval or fuzzy weight estimate from an intervals or fuzzy comparison matrix, which differs from Csutora and Buckley's Lambda-Max method in several aspects.
67 citations
01 Jun 2005
TL;DR: A data-driven approach is used to investigate if there is a significant difference between quantitative and fuzzy association rules in large databases.
Abstract: As opposed to quantitative association rule mining, fuzzy association rule mining is said to prevent the overestimation of boundary cases, as can be shown by small examples. Rule mining, however, becomes interesting in large databases, where the problem of boundary cases is less apparent and can be further suppressed by using sensible partitioning methods. A data-driven approach is used to investigate if there is a significant difference between quantitative and fuzzy association rules in large databases. The influence of the choice of a particular triangular norm in this respect is also examined.
67 citations
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TL;DR: A unified approach is presented for solving fuzzy linear systems of equations and inequalities over a bounded chain with polynomial time algorithms, concerned with establishing the consistency of the system, computing all kinds of solutions, or marking the contradictory equations (respectively inequalities) if the system is inconsistent.
66 citations
TL;DR: A generalization of fuzzy partitions for the F-transform to control and improve the smoothing effect and a parametrization of the fuzzy numbers constituting the basic functions related to the fuzzy partitions are suggested.
66 citations
TL;DR: It is shown by an illustrative example that by neglecting the information about uncertainty of intensity of preferences the authors lose an important part of knowledge about the decision making problem which can cause the change in ordering of alternatives.
Abstract: The aim of the paper is to highlight the necessity of applying the concept of constrained fuzzy arithmetic instead of the concept of standard fuzzy arithmetic in a fuzzy extension of Analytic Hierarchy Process (AHP). Emphasis is put on preserving the reciprocity of pairwise comparisons during the computations. For deriving fuzzy weights from a fuzzy pairwise comparison matrix, we consider a fuzzy extension of the geometric mean method and simplify the formulas proposed by Enea and Piazza (Fuzzy Optim Decis Mak 3:39---62, 2004). As for the computation of the overall fuzzy weights of alternatives, we reveal the inappropriateness of applying the concept of standard fuzzy arithmetic and propose the proper formulas where the interactions among the fuzzy weights are taken into account. The advantage of our approach is elimination of the false increase of uncertainty of the overall fuzzy weights. Finally, we advocate the validity of the proposed fuzzy extension of AHP; we show by an illustrative example that by neglecting the information about uncertainty of intensity of preferences we lose an important part of knowledge about the decision making problem which can cause the change in ordering of alternatives.
66 citations