A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator

Chao Tian, Juan Juan Peng, Zhi Qiang Zhang, Mark Goh and Jian Qiang Wang
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Chao Tian: School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
Juan Juan Peng: School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
Zhi Qiang Zhang: School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
Mark Goh: NUS School of Business, National University of Singapore, Singapore 117592, Singapore
Jian Qiang Wang: School of Business, Central South University, Changsha 410083, China

Mathematics, 2020, vol. 8, issue 7, 1-25

Abstract: A multi-criteria decision-making (MCDM) method with single-valued neutrosophic information is developed based on the Partitioned Heronian Mean (PHM) operator and the Shapley fuzzy measure, which recognizes correlation among the selection criteria. Motivated by the PHM operator and Shapley fuzzy measure, two new aggregation operators, namely the single-valued neutrosophic PHM operator and the weighted single-valued neutrosophic Shapley PHM operator, are defined, and their corresponding properties and some special cases are investigated. An MCDM model is applied to solve the single-valued neutrosophic problem where weight information is not completely known. An example is provided to validate the proposed method.

Keywords: single-valued neutrosophic sets; MCDM; partitioned heronian mean; shapley fuzzy measure (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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