Complex neutrosophic generalised dice similarity measures and their application to decision making. Issue 2 (27th April 2020)

• Record Type: Journal Article
• Authors: Ali, Zeeshan; Mahmood, Tahir
• Is Part Of: CAAI transactions on intelligence technology. Volume 5:Issue 2(2020)
• Page Start: 78
• Page End: 87
• Publication Date: 2020-04-27
• Subjects: pattern recognition -- fuzzy set theory -- decision making; complex neutrosophic generalised dice similarity measures -- decision making -- complex neutrosophic set -- CNS -- complex fuzzy set -- complicated information -- inconsistent information -- fuzzy set theory -- complex‐valued membership -- complex‐valued abstinence -- complex‐valued nonmembership -- weighted generalised dice similarity measures -- pattern recognition model; C1160 Combinatorial mathematics -- C1290 Applications of systems theory; Artificial intelligence -- Periodicals; Computer science -- Periodicals; Artificial intelligence; Computer science; Electronic journals; Periodicals; 006.305
• DOI: 10.1049/trit.2019.0084
• Languages: English
• ISSNs: 2468-6557

Abstract

Abstract : Complex neutrosophic set (CNS) is a modified version of the complex fuzzy set, to cope with complicated and inconsistent information in the environment of fuzzy set theory. The CNS is characterised by three functions expressing the degree of complex‐valued membership, complex‐valued abstinence and degree of complex‐valued non‐membership. The aim of this manuscript is to initiate the novel dice similarity measures and generalised dice similarity using CNS. The special cases of the investigated measures are discussed with the help of some remarks. Moreover, some distance measures based on CNS are also proposed in this manuscript. Then, the authors applied the generalised dice similarity measures and weighted generalised dice similarity measures using CNS to the pattern recognition model to examine the reliability and superiority of the established approaches. The advantages and comparative analysis of the proposed measures with existing measures are also discussed in detail. At last, a numerical example is provided to illustrate the validity and applicability of the presented measures.