Pentagonal q-Rung Orthopair Numbers and Their Applications

Irfan Deli ()
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Irfan Deli: Kilis 7 Aralık University

Chapter Chapter 17 in q-Rung Orthopair Fuzzy Sets, 2022, pp 439-464 from Springer

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-19-1449-2_17

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DOI: 10.1007/978-981-19-1449-2_17

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