A New Decision Making Method Using Interval-Valued Intuitionistic Fuzzy Cosine Similarity Measure Based on the Weighted Reduced Intuitionistic Fuzzy Sets

Interval-valued intuitionistic fuzzy environment is appropriate for most of the practical scenarios involving uncertainty, vagueness, and insufficient information. Entropy, similarity, distance, inclusion, and cross entropy measures are a few methods used for measuring uncertainty and classifying fuzzy sets and its generalizations. Entropy of a fuzzy set describes fuzziness degree of the set and similarity measure measures similarity between two fuzzy or members of its extended family. This paper presents generalized entropy and similarity measures for interval-valued intuitionistic fuzzy sets. Further, the proposed similarity measure is compared with some existing measure of similarity with the help of an illustrative example, and a method is used to define optimal point using the existing information. Finally, entropy and similarity measures are used to identify best alternatives to solve multi-attribute decision making.

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Multicriteria decision-making method using the Dice similarity measure based on the reduct intuitionistic fuzzy sets of interval-valued intuitionistic fuzzy sets

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.11.075 ◽

2012 ◽

Vol 36 (9) ◽

pp. 4466-4472 ◽

Cited By ~ 48

Author(s):

Jun Ye

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Similarity Measure ◽

Multicriteria Decision Making ◽

Intuitionistic Fuzzy Sets ◽

Multicriteria Decision ◽

Intuitionistic Fuzzy ◽

Interval Valued ◽

Dice Similarity Measure

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A Cosine Similarity Measure Based on the Choquet Integral for Intuitionistic Fuzzy Sets and Its Applications to Pattern Recognition

Informatica ◽

10.15388/21-infor460 ◽

2021 ◽

pp. 1-16

Author(s):

Murat Olgun ◽

Ezgi Türkarslan ◽

Mehmet Ünver ◽

Jun Ye

Keyword(s):

Pattern Recognition ◽

Fuzzy Sets ◽

Similarity Measure ◽

Choquet Integral ◽

Intuitionistic Fuzzy Sets ◽

Cosine Similarity ◽

Intuitionistic Fuzzy ◽

Cosine Similarity Measure

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Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making

Complexity ◽

10.1155/2017/1891923 ◽

2017 ◽

Vol 2017 ◽

pp. 1-11 ◽

Cited By ~ 17

Author(s):

Donghai Liu ◽

Xiaohong Chen ◽

Dan Peng

Keyword(s):

Decision Making ◽

Similarity Measure ◽

Investment Decision ◽

Similarity Measures ◽

Cosine Similarity ◽

Weighted Averaging ◽

Intuitionistic Fuzzy ◽

Weighted Arithmetic ◽

Cosine Similarity Measure ◽

Interval Valued

We present the interval-valued intuitionistic fuzzy ordered weighted cosine similarity (IVIFOWCS) measure in this paper, which combines the interval-valued intuitionistic fuzzy cosine similarity measure with the generalized ordered weighted averaging operator. The main advantage of the IVIFOWCS measure provides a parameterized family of similarity measures, and the decision maker can use the IVIFOWCS measure to consider a lot of possibilities and select the aggregation operator in accordance with his interests. We have studied some of its main properties and particular cases such as the interval-valued intuitionistic fuzzy ordered weighted arithmetic cosine similarity (IVIFOWACS) measure and the interval-valued intuitionistic fuzzy maximum cosine similarity (IVIFMAXCS) measure. The IVIFOWCS measure not only is a generalization of some similarity measure, but also it can deal with the correlation of different decision matrices for interval-valued intuitionistic fuzzy values. Furthermore, we present an application of IVIFOWCS measure to the group decision-making problem. Finally the existing similarity measures are compared with the IVIFOWCS measure by an illustrative example.

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Cosine Similarity Measure between Hybrid Intuitionistic Fuzzy Sets and Its Application in Medical Diagnosis

Computational and Mathematical Methods in Medicine ◽

10.1155/2018/3146873 ◽

2018 ◽

Vol 2018 ◽

pp. 1-7 ◽

Cited By ~ 5

Author(s):

Donghai Liu ◽

Xiaohong Chen ◽

Dan Peng

Keyword(s):

Fuzzy Sets ◽

Similarity Measure ◽

Medical Diagnosis ◽

Similarity Measures ◽

Intuitionistic Fuzzy Sets ◽

Cosine Similarity ◽

Individual Decision ◽

Intuitionistic Fuzzy ◽

Cosine Similarity Measure ◽

The Ideal

In this paper, a cosine similarity measure between hybrid intuitionistic fuzzy sets is proposed. The aim of the paper is to investigate the cosine similarity measure with hybrid intuitionistic fuzzy information and apply it to medical diagnosis. Firstly, we construct the cosine similarity measure between hybrid intuitionistic fuzzy sets, and the relevant properties are also discussed. In order to obtain a reasonable evaluation in group decision, the weight of experts under different attributes is determined by the projection of individual decision information on the ideal decision information, where the ideal decision information is the average values of each expert’s evaluation. Furthermore, we propose a decision method for medical diagnosis based on the cosine similarity measure between hybrid intuitionistic fuzzy sets, and the patient can be diagnosed with the disease according to the values of proposed cosine similarity measure. Finally, an example is given to illustrate feasibility and effectiveness of the proposed cosine similarity measure, which is also compared with the existing similarity measures.

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