Multiattribute decision making method based on nonlinear programming model, cosine similarity measure, and novel score function of interval-valued intuitionistic fuzzy values

Chen, Shyi‐Ming; Ke, Meng-Wei

doi:10.1016/j.ins.2023.119370

Cited by 4 publications

(2 citation statements)

References 47 publications

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“…In 37 the authors created an IVIFS cosine similarity measure. A cosine similarity measure to tackle the MCDM problem with IVIF knowledge is developed in 38 . Nayagam et al 39 proposed a similarity measure based on the accuracy score of traditional trapezoidal-valued intuitionistic fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Selecting an optimal approach to reduce energy crises under interval-valued intuitionistic fuzzy environment

Alghazzawi,

Alolaiyan,

Ashfaq

et al. 2024

Sci Rep

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The concept of interval-valued intuitionistic fuzzy sets is intellectually stimulating and holds significant utility in the representation and analysis of real-world problems. The development of similarity measures within the class of interval-valued intuitionistic fuzzy sets possesses significant importance across various academic disciplines, particularly in the fields of decision-making and pattern recognition. The utilization of similarity measures is of utmost importance in the decision-making process when implementing interval-valued intuitionistic fuzzy sets. This is due to its inherent capability to quantitatively assess the level of resemblance or similarity between two interval-valued intuitionistic fuzzy sets. In this article, the drawbacks of the existing similarity measures in the context of an interval-valued intuitionistic fuzzy environment are addressed, and a novel similarity measure is presented. Many fundamental properties of this new interval-valued intuitionistic fuzzy similarity measure are also established, and the effectiveness of this similarity measure is illustrated by presenting a useful example. Moreover, a comparison is given to demonstrate the validity of the newly proposed similarity measure within the existing knowledge of similarity measures in the interval-valued intuitionistic fuzzy environment. In addition, an algorithm is designed to solve multi-criteria decision making problems by means of the proposed measure in the interval-valued intuitionistic fuzzy setting. Furthermore, this newly defined similarity measure is successfully applied to select an optimal renewable energy source to reduce energy crises. Finally, we conduct a comparative study to showcase the authenticity of the recently defined technique within the existing knowledge of similarity measures in the interval-valued intuitionistic fuzzy environment.

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Section: Introductionmentioning

confidence: 99%

Selecting an optimal approach to reduce energy crises under interval-valued intuitionistic fuzzy environment

Alghazzawi,

Alolaiyan,

Ashfaq

et al. 2024

Sci Rep

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show abstract

“…Suo [39] established a knowledge measure function combining distance and the technique for order preference by similarity to the ideal solution. In 2023, Chen and Ke [40] proposed a cosine similarity measure to solve the MCDM problem by using IVIF knowledge. Nayagam et al [41] suggested a similarity measure based on the accuracy score of conventional trapezoidal-valued intuitionistic fuzzy sets in 2023.…”

Section: Introductionmentioning

confidence: 99%

Improving Similarity Measures for Modeling Real-World Issues With Interval-Valued Intuitionistic Fuzzy Sets

Alolaiyan,

Razaq,

Ashfaq

et al. 2024

IEEE Access

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The concept of interval-valued intuitionistic fuzzy sets (IVIFSs) presents a compelling and practical framework for modeling real-world problems. In various fields, such as pattern recognition and decision-making, the development of similarity measures tailored to this class holds significant importance. These measures play a pivotal role in the decision-making process involving IVIFSs, as they quantify the extent of similarity between two such sets. In this article, the shortcomings of the existing similarity measures within the framework of IVIFSs are highlighted, and an improved similarity measure is presented. A comparative study validates that this new similarity measure is better than the existing measures in the IVIF environment. This study systematically establishes several essential properties of the novel similarity measure and substantiates its effectiveness through numerical illustrations. Moreover, a comparative assessment is undertaken to validate the efficacy of the recently introduced measure in relation to established metrics, within the context of IVIFSs. To address the evaluation of software quality, a dedicated mechanism is devised, harnessing the proposed IVIFS similarity measure. Furthermore, an innovative production strategy is formulated utilizing the newly defined methodology to determine the optimal approach for the production of a specific product.. INDEX TERMSDecision making problem, Interval valued intuitionistic fuzzy set, Optimal production strategy, Similarity measure, Software quality model I.

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Similarity Measure for Interval-Valued Intuitionistic Fuzzy Set and Its Applications

伍

2024

AAM

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Multiattribute decision making method based on nonlinear programming model, cosine similarity measure, and novel score function of interval-valued intuitionistic fuzzy values

Cited by 4 publications

References 47 publications

Selecting an optimal approach to reduce energy crises under interval-valued intuitionistic fuzzy environment

Selecting an optimal approach to reduce energy crises under interval-valued intuitionistic fuzzy environment

Improving Similarity Measures for Modeling Real-World Issues With Interval-Valued Intuitionistic Fuzzy Sets

Similarity Measure for Interval-Valued Intuitionistic Fuzzy Set and Its Applications

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