Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making

PLoS One. 2018 Mar 7;13(3):e0193027. doi: 10.1371/journal.pone.0193027. eCollection 2018.

Abstract

Linguistic neutrosophic numbers (LNNs) can easily describe the incomplete and indeterminate information by the truth, indeterminacy, and falsity linguistic variables (LVs), and the Hamy mean (HM) operator is a good tool to deal with multiple attribute group decision making (MAGDM) problems because it can capture the interrelationship among the multi-input arguments. Motivated by these ideas, we develop linguistic neutrosophic HM (LNHM) operator and weighted linguistic neutrosophic HM (WLNHM) operator. Some desirable properties and special cases of two operators are discussed in detail. Furthermore, considering the situation in which the decision makers (DMs) can't give the suitable weight of each attribute directly from various reasons, we propose the concept of entropy for linguistic neutrosophic set (LNS) to obtain the attribute weight vector objectively, and then the method for MAGDM problems with LNNs is proposed, and some examples are used to illustrate the effectiveness and superiority of the proposed method by comparing with the existing methods.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms*
  • Decision Making*
  • Decision Support Techniques
  • Fuzzy Logic
  • Group Processes*
  • Humans
  • Linguistics / methods*

Grants and funding

This work is supported by the National Natural Science Foundation of China (Nos. 71771140 and 71471172), the Special Funds of Taishan Scholars Project of Shandong Province (No. ts201511045) and a Project of Shandong Province Higher Educational Science and Technology Program (Nos. J16LN25 and J17KA189).