Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft Set
Hypersoft set is an emerging field of study that is meant to address the insufficiency and the limitation of existing soft-set-like models regarding the consideration and the entitlement of multi-argument approximate function. This type of function maps the multi-subparametric tuples to the power se...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Applied Computational Intelligence and Soft Computing |
| Online Access: | http://dx.doi.org/10.1155/2021/4368770 |
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| _version_ | 1832558835541213184 |
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| author | Atiqe Ur Rahman Muhammad Saeed Muhammad Arshad Salwa El-Morsy |
| author_facet | Atiqe Ur Rahman Muhammad Saeed Muhammad Arshad Salwa El-Morsy |
| author_sort | Atiqe Ur Rahman |
| collection | DOAJ |
| description | Hypersoft set is an emerging field of study that is meant to address the insufficiency and the limitation of existing soft-set-like models regarding the consideration and the entitlement of multi-argument approximate function. This type of function maps the multi-subparametric tuples to the power set of the universe. It focuses on the partitioning of each attribute into its attribute-valued set that is missing in existing soft-set-like structures. This study aims to introduce novel concepts of complex intuitionistic fuzzy set and complex neutrosophic set under the hypersoft set environment with interval-valued settings. Two novel structures, that is, interval-valued complex intuitionistic hypersoft set (IV-CIFHS-set) and interval-valued complex neutrosophic hypersoft set (IV-CNHS-set), are developed via employing theoretic, axiomatic, graphical, and algorithmic approaches. After conceptual characterization of essential elementary notions of these structures, decision-support systems are presented with the proposal of algorithms to assist the decision-making process. The proposed algorithms are validated with the help of real-world applications. A comprehensive inter-cum-intra comparison of proposed structures is discussed with the existing relevant models, and their generalization is elaborated under certain evaluating features. |
| format | Article |
| id | doaj-art-ebc1b6bc5f87458ca218c51092e1dd5d |
| institution | Kabale University |
| issn | 1687-9732 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Computational Intelligence and Soft Computing |
| spelling | doaj-art-ebc1b6bc5f87458ca218c51092e1dd5d2025-02-03T01:31:27ZengWileyApplied Computational Intelligence and Soft Computing1687-97322021-01-01202110.1155/2021/4368770Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft SetAtiqe Ur Rahman0Muhammad Saeed1Muhammad Arshad2Salwa El-Morsy3Department of MathematicsDepartment of MathematicsDepartment of MathematicsBasic Science DepartmentHypersoft set is an emerging field of study that is meant to address the insufficiency and the limitation of existing soft-set-like models regarding the consideration and the entitlement of multi-argument approximate function. This type of function maps the multi-subparametric tuples to the power set of the universe. It focuses on the partitioning of each attribute into its attribute-valued set that is missing in existing soft-set-like structures. This study aims to introduce novel concepts of complex intuitionistic fuzzy set and complex neutrosophic set under the hypersoft set environment with interval-valued settings. Two novel structures, that is, interval-valued complex intuitionistic hypersoft set (IV-CIFHS-set) and interval-valued complex neutrosophic hypersoft set (IV-CNHS-set), are developed via employing theoretic, axiomatic, graphical, and algorithmic approaches. After conceptual characterization of essential elementary notions of these structures, decision-support systems are presented with the proposal of algorithms to assist the decision-making process. The proposed algorithms are validated with the help of real-world applications. A comprehensive inter-cum-intra comparison of proposed structures is discussed with the existing relevant models, and their generalization is elaborated under certain evaluating features.http://dx.doi.org/10.1155/2021/4368770 |
| spellingShingle | Atiqe Ur Rahman Muhammad Saeed Muhammad Arshad Salwa El-Morsy Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft Set Applied Computational Intelligence and Soft Computing |
| title | Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft Set |
| title_full | Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft Set |
| title_fullStr | Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft Set |
| title_full_unstemmed | Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft Set |
| title_short | Multi-Attribute Decision-Support System Based on Aggregations of Interval-Valued Complex Neutrosophic Hypersoft Set |
| title_sort | multi attribute decision support system based on aggregations of interval valued complex neutrosophic hypersoft set |
| url | http://dx.doi.org/10.1155/2021/4368770 |
| work_keys_str_mv | AT atiqeurrahman multiattributedecisionsupportsystembasedonaggregationsofintervalvaluedcomplexneutrosophichypersoftset AT muhammadsaeed multiattributedecisionsupportsystembasedonaggregationsofintervalvaluedcomplexneutrosophichypersoftset AT muhammadarshad multiattributedecisionsupportsystembasedonaggregationsofintervalvaluedcomplexneutrosophichypersoftset AT salwaelmorsy multiattributedecisionsupportsystembasedonaggregationsofintervalvaluedcomplexneutrosophichypersoftset |