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A Novel Ranking Approach to Rank Interval-Valued Trapezoidal Intuitionistic Fuzzy Sets by Using the Concept of Centroids

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Abstract

An Interval-valued trapezoidal intuitionistic fuzzy set (IVTrIFS) is a powerful tool for modelling uncertainty. The ranking of IVTrIFSs plays a vital role in fuzzy set theory to compare and analyze the given information. An IVTrIFS is a special type of Intuitionistic Fuzzy Set (IFS) and interval-valued intuitionistic fuzzy set (IVIFS) with a consecutive domain of real numbers. In this paper, we analyzed many ranking methods based on various Fuzzy logic techniques and proposed a new ranking method from geometric point of view, the expectation and expectant score function of an IVTrIFS from the concept of centroids of the membership function, non-membership function, and hesitancy function. The comparative results show that the proposed method is innate and effective, very useful to the applications of computational Intelligence, decision-making, predictive system analysis, and performance analysis.

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Authors and Affiliations

  1. Department of Mathematics, GITAM Deemed to be University, Visakhapatnam, Andhra Pradesh, India

    S. N. Murty Kodukulla & V. Sireesha

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  1. S. N. Murty Kodukulla
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  2. V. Sireesha
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Correspondence to S. N. Murty Kodukulla.

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K. S. N. MURTY declares that he has no conflict of interest. V. SIRISHA declares that she has no conflict of interest.

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Kodukulla, S.N.M., Sireesha, V. A Novel Ranking Approach to Rank Interval-Valued Trapezoidal Intuitionistic Fuzzy Sets by Using the Concept of Centroids. SN COMPUT. SCI. 5, 493 (2024). https://doi.org/10.1007/s42979-024-02861-x

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