Complex neutrosophic generalised dice similarity measures and their application to decision making

作     者：Zeeshan Ali Tahir Mahmood 

作者机构：Department of Mathematics and StatisticsInternational Islamic UniversityIslamabadPakistan 

出 版 物：《CAAI Transactions on Intelligence Technology》 (智能技术学报（英文）)

年 卷 期：2020年第5卷第2期

页      面：78-87页

核心收录：

学科分类：0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 0839[工学-网络空间安全] 0835[工学-软件工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：theory. similarity valued 

摘      要：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.