n-ary Fuzzy Hypersoft Expert Sets
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2021-06-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/naryFuzzyHypersoftExpertSets15.pdf |
| _version_ | 1828103627636473856 |
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| author | Huseyin Kamacı Muhammad Saqlain |
| author_facet | Huseyin Kamacı Muhammad Saqlain |
| author_sort | Huseyin Kamacı |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T09:28:00Z |
| format | Article |
| id | doaj.art-82c8f7917ad642a5b6cb0ddb9e5ae2da |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-11T09:28:00Z |
| publishDate | 2021-06-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-82c8f7917ad642a5b6cb0ddb9e5ae2da2022-12-22T04:31:58ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-06-014318021110.5281/zenodo.4914849n-ary Fuzzy Hypersoft Expert SetsHuseyin KamacıMuhammad Saqlain 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. http://fs.unm.edu/NSS/naryFuzzyHypersoftExpertSets15.pdfhypersoft setfuzzy hypersoft setn-ary fuzzy hypersoft setfuzzy hypersoft expert setn-ary fuzzy hypersoft expert set |
| spellingShingle | Huseyin Kamacı Muhammad Saqlain n-ary Fuzzy Hypersoft Expert Sets Neutrosophic Sets and Systems hypersoft set fuzzy hypersoft set n-ary fuzzy hypersoft set fuzzy hypersoft expert set n-ary fuzzy hypersoft expert set |
| title | n-ary Fuzzy Hypersoft Expert Sets |
| title_full | n-ary Fuzzy Hypersoft Expert Sets |
| title_fullStr | n-ary Fuzzy Hypersoft Expert Sets |
| title_full_unstemmed | n-ary Fuzzy Hypersoft Expert Sets |
| title_short | n-ary Fuzzy Hypersoft Expert Sets |
| title_sort | n ary fuzzy hypersoft expert sets |
| topic | hypersoft set fuzzy hypersoft set n-ary fuzzy hypersoft set fuzzy hypersoft expert set n-ary fuzzy hypersoft expert set |
| url | http://fs.unm.edu/NSS/naryFuzzyHypersoftExpertSets15.pdf |
| work_keys_str_mv | AT huseyinkamacı naryfuzzyhypersoftexpertsets AT muhammadsaqlain naryfuzzyhypersoftexpertsets |