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n-ary Fuzzy Hypersoft Expert Sets

Authors: Huseyin Kamacı; Muhammad Saqlain;

n-ary Fuzzy Hypersoft Expert Sets

Abstract

In 2018, Smarandache introduced the concept of hypersoft set by replacing the approximate function of the Molodtsov’s soft sets with the multi-argument approximate function. Moreover, the fuzzy hybrid model of hypersoft set was developed and thus the theory of fuzzy hypersoft set was initiated. This chapter is devoted to introduce the concept of n-ary fuzzy hypersoft set extending the fuzzy hypersoft set with multiple set of universes (or n-dimension universal sets), the concept of fuzzy hypersoft expert set that presents the opinions of all experts in one fuzzy hypersoft set model without any operations, and the concept of n-ary fuzzy hypersoft expert set that exhibits the opinions of all experts in one n-ary fuzzy hypersoft set model without any operations. Apparently, the n-ary fuzzy hypersoft expert sets include both n-ary fuzzy hypersoft sets and fuzzy hypersoft expert set. Some basic operations of each of these extended fuzzy hypersoft sets are derived and their structural properties are investigated. Finally, an application of ternary fuzzy hypersoft expert set (i.e., n=3) in real-life problem are given.

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Keywords

hypersoft set, Electronic computers. Computer science, n-ary fuzzy hypersoft expert set, QA1-939, fuzzy hypersoft expert set, Hypersoft set; fuzzy hypersoft set; n-ary fuzzy hypersoft set; fuzzy hypersoft expert set; n-ary fuzzy hypersoft expert set, QA75.5-76.95, fuzzy hypersoft set, n-ary fuzzy hypersoft set, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
views
OpenAIRE UsageCountsViews provided by UsageCounts
downloads
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3
Top 10%
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