Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications

Qaisar Khan, Peide Liu and Tahir Mahmood
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Qaisar Khan: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Peide Liu: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China
Tahir Mahmood: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

Mathematics, 2018, vol. 6, issue 7, 1-16

Abstract: Neutrosophic sets (NSs) are used to illustrate uncertain, inconsistent, and indeterminate information existing in real-world problems. Double-valued neutrosophic sets (DVNSs) are an alternate form of NSs, in which the indeterminacy has two distinct parts: indeterminacy leaning toward truth membership, and indeterminacy leaning toward falsity membership. The aim of this article is to propose novel Dice measures and generalized Dice measures for DVNSs, and to specify Dice measures and asymmetric measures (projection measures) as special cases of generalized Dice measures via specific parameter values. Finally, the proposed generalized Dice measures and generalized weighted Dice measures were applied to pattern recognition and medical diagnosis to show their effectiveness.

Keywords: double-valued neutrosophic set; Dice similarity measure; pattern recognition; medical diagnosis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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