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Pentagonal q-Rung Orthopair Numbers and Their Applications

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q-Rung Orthopair Fuzzy Sets

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Abstract

In the chapter, Pentagonal q-rung orthopair numbers(Pq-RO-numbers) that are generalization of the fuzzy numbers and intuitionistic fuzzy numbers are defined on real number R. Then, normal Pq-RO-numbers defined in [0, 1] and by using the concept of s-norm and t-norm their laws of operations are proposed including their properties. Also, to compare any two Pq-RO-numbers, 1. and 2. rank value of Pq-RO-numbers are proposed. Furthermore, some operators of qth rung orthopair fuzzy numbers such as; qth rung orthopair fuzzy number weighted aggregation mean operator and qth rung orthopair fuzzy number weighted geometric mean operator are developed. Finally, by using the Pq-RO-numbers and related concepts, a multi-attribute decision-making method is developed and a real example is initiated to illustrate the proposed method.

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Authors and Affiliations

  1. Kilis 7 Aralık University, 79000, Kilis, Turkey

    Irfan Deli

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  1. Irfan Deli
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Correspondence to Irfan Deli .

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  1. Thapar Institute of Engineering and Technology, Patiala, Punjab, India

    Harish Garg

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Deli, I. (2022). Pentagonal q-Rung Orthopair Numbers and Their Applications. In: Garg, H. (eds) q-Rung Orthopair Fuzzy Sets. Springer, Singapore. https://doi.org/10.1007/978-981-19-1449-2_17

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