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

Author

Hazwani Hashim, Lazim Abdullah, Al-Quran, Ashraf, and Awang, Azzah

Subjects
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.

Published
2021
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6. Entropy Measures for Interval Neutrosophic Vague Sets and Their Application in Decision Making.

Author

Hashim, Hazwani, Abdullah, Lazim, Al-Quran, Ashraf, and Awang, Azzah

Subjects
DECISION making, MULTIPLE criteria decision making, MEASURING instruments, INFORMATION measurement, SET theory
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. [ABSTRACT FROM AUTHOR]

Published
2021

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