A Choquet Integral Based Cosine Similarity Measure for Interval-Valued Intuitionistic Fuzzy Sets and an Application to Pattern Recognition

Garg, Harish; Olgun, Murat; Türkarslan, Ezgi; Ünver, Mehmet

doi:10.1134/s1995080222120113

Cited by 6 publications

(1 citation statement)

References 19 publications

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“…Tian [44] and Rajarajeswari and Uma [45] proposed similarity measures between IFSs based on cotangent functions and demonstrated their applications in medical diagnoses. Recently, Garg et al [46] proposed Choquet integral-based cosine similarity measures for interval-valued IFSs and presented their applications in pattern recognition. The family of all (m, n)-ROFSs defined over P MD Membership degree NMD Non-membership degree IMD Indeterminacy membership degree…”

Section: Introductionmentioning

confidence: 99%

Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification

Rajput¹,

Shukla²,

Thakur

2023

Symmetry

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A fuzzy set is a powerful tool to handle uncertainty and ambiguity, and generally, the notions of symmetry and similarity are also exhibited in the fuzzy set theory. The class of (m, n)-rung orthopair fuzzy sets through two universes are more flexible and efficient than the q-rung orthopair fuzzy sets when discussing the symmetry and similarity between multiple objects. This research article comprehensively investigates ten similarity measures that employ cosine and cotangent functions for comparing (m, n)-rung orthopair fuzzy sets, which are a superclass of q-rung orthopair fuzzy sets. Moreover, the proposed weighted similarity measures are applied to real-world problems in building material analysis. A comparative analysis is conducted between the proposed measures and the existing cosine and cotangent measures of q-rung orthopair fuzzy sets, showing that the proposed measures are more efficient than existing ones. Additionally, a numerical example demonstrates the practical and scientific applications of these similarity measures in classifying plant leaf diseases. The sensitivity analysis shows that the existing measures cannot be applied to (m, n)-fuzzy data for distinct values of m and n. The results are supported by graphical interpretations, further illustrating the efficacy of the proposed measures.

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Section: Introductionmentioning

confidence: 99%

Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification

Rajput¹,

Shukla²,

Thakur

2023

Symmetry

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Information Measures for Continuous Function-Valued q-Rung Orthopair Fuzzy Sets and an Extended TOPSIS

Ünver,

Aydoğan

2024

J. Uncert. Sys.

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The concept of continuous function-valued [Formula: see text]-rung orthopair fuzzy set (CFV[Formula: see text]ROFS) represents an innovative framework within fuzzy set theory, where the assessment of an element’s membership and nonmembership degrees is accomplished through continuous functions. This paper introduces a novel entropy measure for CFV[Formula: see text]ROFS, employing the Riemann integral. Furthermore, it outlines a theoretical framework for constructing a similarity measure based on entropy and presents a distance measure. The newly introduced entropy measure is used for weighting criteria and measuring the distance of the alternatives in decision-making processes. To illustrate the practical utility of these concepts, an extended Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is proposed and is employed to tackle a real-world problem previously addressed in the literature. The outcomes of this extended TOPSIS are compared with those given in existing studies, and a sensitivity analysis is performed concerning the variable [Formula: see text].

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An integrated CoCoSo-CRITIC-based decision-making framework for sustainable competitiveness evaluation of regional financial centers with interval-valued intuitionistic fuzzy information

Yang

Deng

2023

IFS

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Due to the increasingly strengthened role of finance in modern economic development, theoretical research on regional financial competitiveness in the study of regional economic competitiveness becomes very important. For China at this stage, finance is in a period of rapid development, and its role has penetrated into all aspects of social and economic life. Especially after China’s entry into the WTO, the pace of opening up the financial market has been further accelerated, and comprehensive evaluation and analysis of financial competitiveness is of great significance for comprehensively understanding and accurately grasping China’s national conditions, national strength, and international competitiveness, promoting the long-term growth of China’s financial competitiveness, and the sustainable development of the financial industry. The competitiveness evaluation of regional financial centers is looked as the multiple attribute decision-making (MADM) problem. This paper intends to propose a MADM methodology based on CoCoSo (Combined Compromise Solution) method under interval-valued intuitionistic fuzzy sets (IVIFSs) for sustainable competitiveness evaluation of regional financial centers. At the end of this study, we noticed to a comparison between the proposed IVIF-CoCoSo approach with other existing methods to verify the effectiveness of the algorithm.

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A Choquet Integral Based Cosine Similarity Measure for Interval-Valued Intuitionistic Fuzzy Sets and an Application to Pattern Recognition

Cited by 6 publications

References 19 publications

Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification

Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification

Information Measures for Continuous Function-Valued q-Rung Orthopair Fuzzy Sets and an Extended TOPSIS

An integrated CoCoSo-CRITIC-based decision-making framework for sustainable competitiveness evaluation of regional financial centers with interval-valued intuitionistic fuzzy information

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