2012
DOI: 10.1016/j.eswa.2012.01.027
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Multiattribute decision making based on interval-valued intuitionistic fuzzy values

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Cited by 102 publications
(34 citation statements)
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“…A fuzzy set, defined originally by Zadeh [15], is an extension of a crisp set. Crisp sets allow only full membership or no membership at all, whereas fuzzy sets [11] [12] [13] [16] [17] allow partial membership. The diagnostic procedure, usually proceeding with given matrices R and B to find the solution of matrix A that fits the requirements of Equation (1), is an inverse problem of fuzzy relation equation.…”
Section: Fuzzy Logical Equationmentioning
confidence: 99%
“…A fuzzy set, defined originally by Zadeh [15], is an extension of a crisp set. Crisp sets allow only full membership or no membership at all, whereas fuzzy sets [11] [12] [13] [16] [17] allow partial membership. The diagnostic procedure, usually proceeding with given matrices R and B to find the solution of matrix A that fits the requirements of Equation (1), is an inverse problem of fuzzy relation equation.…”
Section: Fuzzy Logical Equationmentioning
confidence: 99%
“…Their fundamental characteristic is that the values of the membership function and non-membership function are intervals rather than exact numbers. The introduction of intervals for describing the value of membership and non-membership helps to reduce the cognitive demand on the decision makers in representing their subjective assessments in the decision making process [16].…”
Section: The Interval-valued Intuitionistic Fuzzy Multicriteria mentioning
confidence: 99%
“…Interval-valued based intuitionistic fuzzy numbers [16] are the generalization of the intuitionistic fuzzy numbers. Their fundamental characteristic is that the values of the membership function and non-membership function are intervals rather than exact numbers.…”
Section: The Interval-valued Intuitionistic Fuzzy Multicriteria mentioning
confidence: 99%
“…It is required to develop a more effective approach to finding solution to inverse fuzzy logic problem during diagnosing breakdown causes. Although the effective algorithm for solving the inverse fuzzy logic problem have been researched [1][2][3] and reported in many studies [4][5][6], the proposed methods need proceeding with complicate compare procedures. In order to solve the above-mentioned problems, in this study, the search for the solution to fuzzy logical equation is of an optimization problem solved by genetic algorithm (GA) [7,8].…”
Section: Introductionmentioning
confidence: 99%