Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making

Authors

  • Hazwani Hashim Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara (UiTM), Campus Machang
  • Lazim Abdullah Faculty of Ocean Engineering Technology and Informatics, University Malaysia Terengganu
  • Ashraf Al-Quran Preparatory Year Deanship, King Faisal University
  • Azzah Awang Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara (UiTM)

Keywords:

decision making, fuzzy set theory, neutrosophic set theory, interval neutrosophic vague set theory, entropy measure, uncertainty

Abstract

Entropy measure is an important tool in measuring uncertain information and plays a vital role in solving Multi Criteria Decision Making (MCDM). At present, various entropy measures in literature are developed to measure the degree of fuzziness. However, they could not be used to deal with interval neutrosophic vague set (INVS) environment. In this study, two kinds of entropy
measures are proposed as the extension of the entropy measure of single valued neutrosophic set (SVNS). First, we construct the axiomatic definition of INVS and propose a new formula for the entropy measure of INVS. Based on this measure, we develop two multi criteria decision making methods. Subsequently, an illustrative example of investment problems under INVS is given to
demonstrate the proposed entropy measures. Finally, a comparative analysis is presented to illustrate the rationality and effectiveness of the proposed entropy measures.

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Published

2021-10-08

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Hashim, H. ., Abdullah, L. ., Al-Quran, A. ., & Awang, A. . (2021). Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making. Neutrosophic Sets and Systems, 45, 74-95. https://fs.unm.edu/nss8/index.php/111/article/view/1772