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Generalized dice similarity measures for complex q-Rung Orthopair fuzzy sets and its application
Complex & Intelligent Systems ( IF 5.0 ) Pub Date : 2020-11-13 , DOI: 10.1007/s40747-020-00203-x
Harish Garg , Zeeshan Ali , Tahir Mahmood

Complex q-rung orthopair fuzzy set (Cq-ROFS) is an extension of Complex fuzzy set, intuitionistic fuzzy set, Pythagorean fuzzy set, to cope with complicated and inconsistence information in the environment of fuzzy set theory with a wider domain. In Cq-ROFS, each attribute is characterized by the degree of membership and non-membership degree over the unit-disc of the complex plan. Keeping the advantages of Cq-ROFSs, in this manuscript, we present a concept of the dice similarity and generalized dice similarity measures between the pairs of the sets. The basic axioms and properties are also stated. Further, we extend the proposed measures to weighted dice similarity measures and investigated their properties. The certain properties and the special cases of the proposed work are also derived. The applicability of the proposed measures is demonstrated with some numerical examples related to medical diagnoses and pattern recognition. The superiority and advantages of the measures over the existing ones are also illustrated with certain numerical examples.



中文翻译:

复杂q阶Orthopair模糊集的广义骰子相似度量及其应用。

复杂q-阶邻对模糊集(Cq-ROFS)是对复杂模糊集,直觉模糊集,勾股模糊集的扩展,以在更广泛领域的模糊集理论环境中处理复杂和不一致的信息。在Cq-ROFS中,每个属性的特征在于复杂计划的单元盘上的成员资格程度和非成员资格程度。为了保持Cq-ROFS的优势,在本手稿中,我们提出了骰子相似性和集合对之间的广义骰子相似性度量的概念。还陈述了基本公理和特性。此外,我们将拟议的度量扩展到加权骰子相似性度量,并研究了它们的特性。还推导了拟议工作的某些性质和特殊情况。通过一些与医学诊断和模式识别有关的数值示例,证明了所建议措施的适用性。还通过一些数值示例说明了该措施相对于现有措施的优越性和优势。

更新日期:2020-11-15
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