An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting
A new area of research called intuitionistic fuzzy soft expert set is expected to overcome the drawbacks of an intuitionistic fuzzy soft set in terms of eligibility for soft expert-argument approximate function. This type of function views the power set of the universe as its co-domain and the carte...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2023.2182144 |
| _version_ | 1797215171237642240 |
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| author | Muhammad Ihsan Muhammad Saeed Khuram Ali Khan Ammara Nosheen |
| author_facet | Muhammad Ihsan Muhammad Saeed Khuram Ali Khan Ammara Nosheen |
| author_sort | Muhammad Ihsan |
| collection | DOAJ |
| description | A new area of research called intuitionistic fuzzy soft expert set is expected to overcome the drawbacks of an intuitionistic fuzzy soft set in terms of eligibility for soft expert-argument approximate function. This type of function views the power set of the universe as its co-domain and the cartesian product of attributes, experts, and their opinions as its domain. The domain of this function is larger as compared to the domain of a soft approximation function. It can manage a situation in which several expert opinions are taken into account by a single model. For the soft expert-argument approximate function with intuitionistic fuzzy setting, concepts such as set inclusion, [Formula: see text]-convexity(concave) sets, strongly [Formula: see text]-convexity (concave) sets, strictly [Formula: see text]-convexity (concave) sets, convex hull, and convex cone are conceived in this paper. Some set-theoretic inequalities are established with generalized properties and results on the basis of these specified notions. Additionally, by using a theoretic cum analytical approach, various elements of computational geometry, such as convex hull and convex cone, are theorized and some pertinent results are generalized. |
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| id | doaj.art-9c947328a3384f45af2d3effc23e8e8a |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-04-24T11:25:49Z |
| publishDate | 2023-12-01 |
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| series | Journal of Taibah University for Science |
| spelling | doaj.art-9c947328a3384f45af2d3effc23e8e8a2024-04-10T20:17:48ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552023-12-0117110.1080/16583655.2023.2182144An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy settingMuhammad Ihsan0Muhammad Saeed1Khuram Ali Khan2Ammara Nosheen3Department of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanA new area of research called intuitionistic fuzzy soft expert set is expected to overcome the drawbacks of an intuitionistic fuzzy soft set in terms of eligibility for soft expert-argument approximate function. This type of function views the power set of the universe as its co-domain and the cartesian product of attributes, experts, and their opinions as its domain. The domain of this function is larger as compared to the domain of a soft approximation function. It can manage a situation in which several expert opinions are taken into account by a single model. For the soft expert-argument approximate function with intuitionistic fuzzy setting, concepts such as set inclusion, [Formula: see text]-convexity(concave) sets, strongly [Formula: see text]-convexity (concave) sets, strictly [Formula: see text]-convexity (concave) sets, convex hull, and convex cone are conceived in this paper. Some set-theoretic inequalities are established with generalized properties and results on the basis of these specified notions. Additionally, by using a theoretic cum analytical approach, various elements of computational geometry, such as convex hull and convex cone, are theorized and some pertinent results are generalized.https://www.tandfonline.com/doi/10.1080/16583655.2023.2182144Fuzzy setfuzzy soft expert set-convexityconvex hullconvex cone |
| spellingShingle | Muhammad Ihsan Muhammad Saeed Khuram Ali Khan Ammara Nosheen An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting Journal of Taibah University for Science Fuzzy set fuzzy soft expert set -convexity convex hull convex cone |
| title | An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting |
| title_full | An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting |
| title_fullStr | An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting |
| title_full_unstemmed | An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting |
| title_short | An algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting |
| title_sort | algebraic approach to the variants of convexity for soft expert approximate function with intuitionistic fuzzy setting |
| topic | Fuzzy set fuzzy soft expert set -convexity convex hull convex cone |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2023.2182144 |
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