2009Systems engineering and electronicsRequires access

Method for dissimilarity measure among intuitionistic fuzzy sets based on weighted Minkowski distance

Chi Zhang

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Abstract

Aiming at the limitations of existing distance measures among IFS,a new kind of dissimilarity measure method based on Minkowski distance is presented.The method is suitable for distance measures among IFS in continuous domain.Moreover,it is more suitable for solving some actual problems which have different weights by taking into account the weight of the element.At the same time,the new proposed method can not only get over several kinds of existing drawbacks of distance measures methods but also solve the problems of distance measure among some particular IFSs.Experiment results obtained from some numerical instances show the proposed method is more superior than the existing ones.

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What this paper is about

Aiming at the limitations of existing distance measures among IFS,a new kind of dissimilarity measure method based on Minkowski distance is presented.The method is suitable for distance measures among IFS in continuous domain.Moreover,it is more suitable for solving some actual problems which have different weights by taking into account the weight of the element.At the same time,the new proposed method can not only get over several kinds of existing drawbacks of distance measures methods but also solve the problems of distance measure among some particular IFSs.Experiment results obtained from some numerical instances show the proposed method is more superior than the existing ones.

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Available abstract

Aiming at the limitations of existing distance measures among IFS,a new kind of dissimilarity measure method based on Minkowski distance is presented.The method is suitable for distance measures among IFS in continuous domain.Moreover,it is more suitable for solving some actual problems which have different weights by taking into account the weight of the element.At the same time,the new proposed method can not only get over several kinds of existing drawbacks of distance measures methods but also solve the problems of distance measure among some particular IFSs.Experiment results obtained from some numerical instances show the proposed method is more superior than the existing ones.

Key concepts: Minkowski distance, Measure (data warehouse), Distance measures, Minkowski space, Mathematics, Domain (mathematical analysis), Fuzzy logic, Algorithm

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