Correlation coefficients of linguistic interval hesitant fuzzy sets and their application

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Xu Y.W.; Meng F.Y.; WANG N.

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:4 Page(s): 65-81

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Information Journal Paper

Title

Correlation coefficients of linguistic interval hesitant fuzzy sets and their application

Author(s)

Xu Y.W. | Meng F.Y. | WANG N. | Issue Writer Certificate

Keywords

Decision makingQ2

pattern recognitionQ2

linguistic interval hesitant fuzzy setQ2

correlation coefficientQ2

distance measureQ2

Abstract

To address the hesitancy, inconsistency and uncertainty of decision makers cognitions, linguistic interval hesitant fuzzy sets (LIHFSs) are efficient tools. This paper focuses on studying the application of LIHFSs. To do this, two correlation coefficients of LIHFSs are defined, which needn't consider the length of elements in LIHFSs or the arrangement of their possible interval values. To address the situation where the weights of elements in a set are different and correlative, two linguistic interval hesitant fuzzy Shapley weighted correlation coefficients are defined. Considering the situation where the weight information of features/attributes is partly known, programming models to determine the optimal fuzzy measures on them are constructed, respectively. After that, an approach to pattern recognition and multi-attribute Decision making with linguistic interval hesitant fuzzy information is developed, respectively. Meanwhile, illustrative examples about medical diagnosis and selecting constructors for tunnel bidding are selected to verify the application of new approaches, and comparison with a previous method is offered.

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APA: Copy

Xu, Y.W., Meng, F.Y., & WANG, N.. (2019). Correlation coefficients of linguistic interval hesitant fuzzy sets and their application. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(4 ), 65-81. SID. https://sid.ir/paper/113435/en

Vancouver: Copy

Xu Y.W., Meng F.Y., WANG N.. Correlation coefficients of linguistic interval hesitant fuzzy sets and their application. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(4 ):65-81. Available from: https://sid.ir/paper/113435/en

IEEE: Copy

Y.W. Xu, F.Y. Meng, and N. WANG, “Correlation coefficients of linguistic interval hesitant fuzzy sets and their application,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 4 , pp. 65–81, 2019, [Online]. Available: https://sid.ir/paper/113435/en

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