Published 6 issues per year
ISSN Print: 2152-5080
ISSN Online: 2152-5099
Indexed in
DISTANCE AND SIMILARITY MEASURES FOR INTUITIONISTIC MULTIPLICATIVE PREFERENCE RELATION AND ITS APPLICATIONS
ABSTRACT
The objective of this work is to present some series of distance measures under the intuitionistic multiplicative preference relation (IMPR), instead of intuitionistic fuzzy preference relation (IFPR), for measuring the relationship between the two different intuitionistic multiplicative sets (IMSs). As IFPR deals under the conditions that the attribute values grades are symmetrical and uniformly distributed, in this manuscript, this assumption has been relaxed by distributing the attribute grades to be asymmetrical around 1 and hence based on it, a family of distance measures between the two or more IMSs has been proposed. Some of its desirable properties have also been investigated in detail. Based on these measures, a group decision-making method has been presented for ranking the alternatives. The method is illustrated by two numerical examples in pattern recognition and medical diagnosis.
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Garg Harish, Generalized Intuitionistic Fuzzy Entropy-Based Approach for Solving Multi-attribute Decision-Making Problems with Unknown Attribute Weights, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 89, 1, 2019. Crossref
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Garg Harish, Generalized interaction aggregation operators in intuitionistic fuzzy multiplicative preference environment and their application to multicriteria decision-making, Applied Intelligence, 48, 8, 2018. Crossref
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Garg Harish, A Robust Ranking Method for Intuitionistic Multiplicative Sets Under Crisp, Interval Environments and Its Applications, IEEE Transactions on Emerging Topics in Computational Intelligence, 1, 5, 2017. Crossref
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Garg Harish, Kumar Kamal, Improved possibility degree method for ranking intuitionistic fuzzy numbers and their application in multiattribute decision-making, Granular Computing, 4, 2, 2019. Crossref
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Garg Harish, Kaur Jaspreet, A Novel (R,S)-Norm Entropy Measure of Intuitionistic Fuzzy Sets and Its Applications in Multi-Attribute Decision-Making, Mathematics, 6, 6, 2018. Crossref
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Garg Harish, Arora Rishu, Novel scaled prioritized intuitionistic fuzzy soft interaction averaging aggregation operators and their application to multi criteria decision making, Engineering Applications of Artificial Intelligence, 71, 2018. Crossref
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Garg Harish, Kaur Gagandeep, Novel distance measures for cubic intuitionistic fuzzy sets and their applications to pattern recognitions and medical diagnosis, Granular Computing, 5, 2, 2020. Crossref
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Rani Dimple, Garg Harish, Complex intuitionistic fuzzy power aggregation operators and their applications in multicriteria decision-making, Expert Systems, 35, 6, 2018. Crossref
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Garg Harish, Kumar Kamal, Distance measures for connection number sets based on set pair analysis and its applications to decision-making process, Applied Intelligence, 48, 10, 2018. Crossref
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Garg Harish, Nancy , Linguistic single-valued neutrosophic prioritized aggregation operators and their applications to multiple-attribute group decision-making, Journal of Ambient Intelligence and Humanized Computing, 9, 6, 2018. Crossref
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Garg Harish, New exponential operational laws and their aggregation operators for interval-valued Pythagorean fuzzy multicriteria decision-making, International Journal of Intelligent Systems, 33, 3, 2018. Crossref
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Liu Peide, Munir Muhammad, Mahmood Tahir, Ullah Kifayat, Some Similarity Measures for Interval-Valued Picture Fuzzy Sets and Their Applications in Decision Making, Information, 10, 12, 2019. Crossref
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Yang Yan, Liu Xin, Zhao Mengchuan, Adapted a novel similarity and its application in fuzzy risk analysis, Evolutionary Intelligence, 13, 2, 2020. Crossref
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Ullah Kifayat, Mahmood Tahir, Ali Zeeshan, Jan Naeem, On some distance measures of complex Pythagorean fuzzy sets and their applications in pattern recognition, Complex & Intelligent Systems, 6, 1, 2020. Crossref
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Zhang Zhiming, Chen Shyi-Ming, Wang Chao, Group decision making with incomplete intuitionistic multiplicative preference relations, Information Sciences, 516, 2020. Crossref
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Lu Jianping, Wei Cun, Zhang Justin, TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information, Journal of Intelligent & Fuzzy Systems, 37, 2, 2019. Crossref
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Luo Li, Zhang Cheng, Liao Huchang, Distance-based intuitionistic multiplicative MULTIMOORA method integrating a novel weight-determining method for multiple criteria group decision making, Computers & Industrial Engineering, 131, 2019. Crossref
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Meng Fanyong, Tang Jie, Cabrerizo Francisco Javier, Herrera-Viedma Enrique, A rational and consensual method for group decision making with interval-valued intuitionistic multiplicative preference relations, Engineering Applications of Artificial Intelligence, 90, 2020. Crossref
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Rong Yuan, Pei Zheng, Liu Yi, Linguistic Pythagorean Einstein Operators and Their Application to Decision Making, Information, 11, 1, 2020. Crossref
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Garg Harish, Exponential operational laws and new aggregation operators for intuitionistic multiplicative set in multiple-attribute group decision making process, Information Sciences, 538, 2020. Crossref
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Rani Dimple, Garg Harish, Complex intuitionistic fuzzy preference relations and their applications in individual and group decision‐making problems, International Journal of Intelligent Systems, 36, 4, 2021. Crossref
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Garg Harish, Rani Dimple, Novel Similarity Measure Based on the Transformed Right-Angled Triangles Between Intuitionistic Fuzzy Sets and its Applications, Cognitive Computation, 13, 2, 2021. Crossref
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Garg Harish, Multi-attribute group decision-making process based on possibility degree and operators for intuitionistic multiplicative set, Complex & Intelligent Systems, 7, 2, 2021. Crossref
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Shao Yabin, Wang Ning, Gong Zengtai, Multicriteria q-Rung orthopair fuzzy decision analysis: a novel approach based on Archimedean aggregation operators with the confidence levels, Soft Computing, 26, 9, 2022. Crossref
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Lu Xiao Yun, Li Hecheng, Hao Qiong, A new group decision-making method with incomplete intuitionistic multiplicative preference relations, Kybernetes, 2022. Crossref
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Wei Guiwu, Garg Harish, Gao Hui, Wei Cun, Interval-Valued Pythagorean Fuzzy Maclaurin Symmetric Mean Operators in Multiple Attribute Decision Making, IEEE Access, 6, 2018. Crossref
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Wang Fangdi, Gong Zengtai, Shao Yabin, Incomplete Complex Intuitionistic Fuzzy System: Preference Relations, Expert Weight Determination, Group Decision-Making and Their Calculation Algorithms, Axioms, 11, 8, 2022. Crossref
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