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Numerous writers on fuzzy number theory have contributed their creative works on fuzzy numbers that are triangular, generalized triangular, trapezoidal, generalized trapezoidal and so forth. A novel generalizations of fuzzy real numbers such as Left Lift Fuzzy Real Number, Right Lift Fuzzy Real Number and Lift Fuzzy Real Number had been recently introduced by the authors. This paper presents and explores some special types of Lift Fuzzy Real Numbers namely Triangular Left Lift Fuzzy Real Number, Triangular Right Lift Fuzzy Real Number, Triangular Lift Fuzzy Real Number, Quadrilateral Left Lift Fuzzy Real Number, Quadrilateral Right Lift Fuzzy Real Number, Quadrilateral Lift Fuzzy Real Number and Trapezoidal Lift Fuzzy Real Number. Both real-world and numerical examples are used to support the proposed new ideas of customized Lift Fuzzy Real Numbers. As an example, we used the proposed Lift Fuzzy Real Numbers to assess the market rates for shares of a reputable bank on a specific day in order to determine the ideal time frame to trade the stocks within the designated market price. Moreover, the proposed categories of the above types of Lift Fuzzy Real Numbers are used to characterize the existing concepts of triangular, trapezoidal fuzzy numbers and their generalized counterparts. Additionally, the existence of the polygonal type and Step-type Lift Fuzzy Real Number is provided.

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The authors are thankful to the editor of the paper and the referees for their precise remarks to improve the presentation of the paper.


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All authors contributed equally to the writing of this manuscript. All authors read and approved the final manuscript.

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Correspondence to N. Jayalakshmi.

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Jayalakshmi, N., Shanmugapriya, M.M. Polygonal Types of Lift Fuzzy Real Numbers. Fudan J. Hum. Soc. Sci. (2024).

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Mathematics Subject Classification