Generalized Ordered Weighted Simplified Neutrosophic Cosine Similarity Measure for Multiple Attribute Group Decision Making

Jun Ye

doi:10.4018/ijcini.2020010104

Abstract

The paper proposes a generalized ordered weighted simplified neutrosophic cosine similarity (GOWSNCS) measure by combining the cosine similarity measure of simplified neutrosophic sets (SNSs) with the generalized ordered weighted averaging (GOWA) operator and investigates its properties and special cases. Then, the author develops a simplified neutrosophic group decision-making method based on the GOWSNCS measure to handle multiple attribute group decision-making problems with simplified neutrosophic information. The prominent characteristics of the GOWSNCS measure are that it not only is a generalization of the cosine similarity measure but also considers the associated weights for attributes and decision makers in the aggregation of the cosine similarity measures of SNSs to alleviate the influence of unduly large or small similarities in the process of information aggregation. Finally, an illustrative example of investment alternatives is provided to demonstrate the application and effectiveness of the developed approach.

Highlights

In complex engineering, economics, and management, multiple attribute group decision making is a very important research topic (Zheng et al 2018, Lin et al 2018, Liu et al 2019a and 2019b)
The indeterminacy presented in the neutrosophic set is independent on the truth and falsity values and can include inconsistent information, while the incorporated uncertainty in the intuitionistic fuzzy sets (IFSs) is dependent on the degrees of belongingness and non-belongingness and cannot include inconsistent information
A group decision making method based on the generalized ordered weighted simplified neutrosophic cosine similarity (GOWSNCS) measure was developed to handle multiple attribute group decision making problems with simplified neutrosophic information

Summary

INTRODUCTION

Economics, and management, multiple attribute group decision making is a very important research topic (Zheng et al 2018, Lin et al 2018, Liu et al 2019a and 2019b). Ye (2014b) introduced the crossentropy measure of SVNSs and its single-valued neutrosophic multiple attribute decision-making method. Liu et al (2014) developed some generalized single-valued neutrosophic number Hamacher aggregation operators and their singlevalued neutrosophic group decision-making method. Ye (2014d) developed a multiple attribute group decision-making method with completely unknown weights based on similarity measures under single-valued neutrosophic environment. We need to define ordered weighted aggregation operators for the cosine similarity measure of SNSs to handle the decision-making problems.

Some Basic Concepts of SNSs and the Cosine Similarity Measure

MULTIPLE ATTRIBUTE GROUP DECISION MAKING USING THE GOWSNCS MEASURE

3: Aggregate all the collective cosine values of

ILLUSTRATIVE EXAMPLE

CONCLUSION