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A fuzzy multicriteria decision-making method based on a cosine similarity measure between expected values of trapezoidal fuzzy numbers is proposed under the conditions that criteria weights and evaluated values in decision matrix are expressed by means of trapezoidal fuzzy numbers. Through the cosine similarity measure between each alternative and the ideal alternative, the ranking order of all alternatives...
In this paper, considered the information carried by the membership, the non-membership and the intuitionistic index in intuitionistic fuzzy sets (IFSs) as probability spaces, a modified cross-entropy measure between two IFSs is proposed to overcome the drawback of the intuitionistic fuzzy cross-entropy measure proposed by Vlachos and Sergiadis and the notion of symmetric discrimination information...
An extended evaluation method for the decision-making problems of alternatives is introsuced by means of extension theory. The extended evaluation method can carry out the decision-making problems of the alternatives based on matter-element models and extended relational degrees. The matter-element model of the desired alternative (ideal alternative) and the matter-element models of alternatives are...
An improved extended evaluation method of engineering alternatives is proposed by means of extension theory. The matter-element model of the desired alternative (ideal alternative) and the matter-element models of alternatives are established according to decision-makers' knowledge or practical experience, and then the alternatives can be ranked by extended relational degrees to choose the optimal...
Aim at the establishment of a complete intelligent aided product color design system, raises the idea of multicolor connection semantics, upbuilds a fuzzy semantics set that shows multicolor harmony degree, discuss the way of using color space length to identify color connection semantics, put forwards the intelligent aided product multicolor design method based on semantics.
Aimed at a generalization of the concept of fuzzy sets-vague sets that involve three dimension meaning (certainty, negation, and uncertainty) in a vague set, an improved mean similarity measure between vague sets and its decision-making method are presented when the influence of uncertain degree (hesitancy degree) on certain degree and negative degree were considered in similarity measures between...
The concept of cross entropy for intuitionistic fuzzy sets, so-called intuitionistic fuzzy cross entropy, is introduced and applied to multicriteria fuzzy decision-making problems. A multicriteria fuzzy decision-making method based on the intuitionistic fuzzy cross-entropy between an alternative and the ideal alternative is established in order to rank the alternatives and select the most desirable...
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