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Relationship between similarity measure and entropy of interval valued fuzzy sets
In this paper, we introduce concepts of entropy of interval valued fuzzy set which is different from Bustince and Burillo [Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets,Expand
  • 239
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Distance Measure of Pythagorean Fuzzy Sets
  • D. Li, Wenyi Zeng
  • Computer Science, Mathematics
  • Int. J. Intell. Syst.
  • 1 February 2018
The main feature of Pythagorean fuzzy sets is that it is characterized by four parameters, namely membership degree, nonmembership degree, strength of commitment about membership, and direction ofExpand
  • 40
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Inclusion measures, similarity measures, and the fuzziness of fuzzy sets and their relations
  • Wenyi Zeng, H. Li
  • Mathematics, Computer Science
  • Int. J. Intell. Syst.
  • 1 June 2006
The inclusion measure, the similarity measure, and the fuzziness of fuzzy sets are three important measures in fuzzy set theory. In this article, we investigate the relations among inclusionExpand
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Note on distance measure of hesitant fuzzy sets
Distance measure is an important tool for distinguishing the difference between two objects. To study the applications of hesitant fuzzy sets, several distance measures between hesitant fuzzy setsExpand
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Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship
In this paper, we introduce an axiomatic definition of an interval-valued fuzzy sets' inclusion measure which is different from Bustince's [H. Bustince, Indicator of inclusion grade forExpand
  • 140
  • 4
Weighted triangular approximation of fuzzy numbers
  • Wenyi Zeng, H. Li
  • Mathematics, Computer Science
  • Int. J. Approx. Reason.
  • 1 September 2007
In this paper, we use the weighted distance between fuzzy numbers to investigate the approximation of arbitrary fuzzy numbers by weighted distance. We then discuss properties of the approximationExpand
  • 77
  • 4
Correlation coefficient of intuitionistic fuzzy sets
Based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method toExpand
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New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making
The distance measures of hesitant fuzzy elements (HFEs) h 1 ( x ) and h 2 ( x ) introduced in the literature only cover the divergence of the values, but fail to consider the difference between theExpand
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Distance and similarity measures between hesitant fuzzy sets and their application in pattern recognition
We introduce hesitance degree of hesitant fuzzy element.We propose novel distance between hesitant fuzzy sets.We propose novel similarity measures between hesitant fuzzy sets.We apply our similarityExpand
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Distance and similarity measures of Pythagorean fuzzy sets and their applications to multiple criteria group decision making
The main feature of Pythagorean fuzzy sets is that it is characterized by five parameters, namely membership degree, nonmembership degree, hesitancy degree, strength of commitment about membership,Expand
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