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Information 2019, 10(2), 80; https://doi.org/10.3390/info10020080

An Interval Pythagorean Fuzzy Multi-criteria Decision Making Method Based on Similarity Measures and Connection Numbers

1
Department of Construction Engineering and Management, North China University of Water Resources and Electric Power, Zhengzhou 450046, China
2
Henan Key Laboratory of Water Environment Simulation and Treatment, Zhengzhou 450045, China
3
School of Management and Economics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China
*
Author to whom correspondence should be addressed.
Received: 8 December 2018 / Revised: 21 February 2019 / Accepted: 21 February 2019 / Published: 25 February 2019
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Abstract

Interval Pythagorean fuzzy set (IPFS), which can handle imprecise and ambiguous information, has attracted considerable attention in both theory and practice. However, one of the main difficulties under IPFSs is the comparison between interval numbers. To overcome this shortcoming, connection number theory is first introduced, and interval numbers are transformed into connection numbers in the operating process. Considering that similarity measures play an important role in assessing the degree between ideal and proposal alternatives in the decision making process, this paper aims to develop new similarity measures with IPFSs and apply them to multi-criteria decision making (MCDM) problems. The main contributions of this paper are as follows: (1) introduction of a comparison method through transforming interval numbers into connection numbers; (2) development of three new similarity measures with IPFSs based on the minimum and maximum operators, and investigation of their properties; (3) calculation of the similarity measures considering weights of membership and non-membership degrees; (4) establishment of an interval Pythagorean fuzzy decision making method applying the presented similarity measures. A case study on selecting a project delivery system is made to show the applicability of the proposed approach. View Full-Text
Keywords: interval Pythagorean fuzzy set; similarity measures; multi-criteria decision making; connection number interval Pythagorean fuzzy set; similarity measures; multi-criteria decision making; connection number
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Li, H.; Cao, Y.; Su, L.; Xia, Q. An Interval Pythagorean Fuzzy Multi-criteria Decision Making Method Based on Similarity Measures and Connection Numbers. Information 2019, 10, 80.

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