A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings
Sub-attribute-valued sets are occasionally viewed as more significant in real-life circumstances than a single set of attributes. The current models that deal with ambiguity and uncertainty, or soft sets, are insufficient to address such situations. To adequately fit the current models for multi-att...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
REA Press
2023-12-01
|
| Series: | Big Data and Computing Visions |
| Subjects: | |
| Online Access: | https://www.bidacv.com/article_192676_2f6b5764cafca835c46d29b1ef41d5f1.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832579302273581056 |
|---|---|
| author | Atiqe Ur Rahman |
| author_facet | Atiqe Ur Rahman |
| author_sort | Atiqe Ur Rahman |
| collection | DOAJ |
| description | Sub-attribute-valued sets are occasionally viewed as more significant in real-life circumstances than a single set of attributes. The current models that deal with ambiguity and uncertainty, or soft sets, are insufficient to address such situations. To adequately fit the current models for multi-attributive sets, the hypersoft set, an extension of the soft set, has been developed. The multi-argument approximate function takes the place of the soft sets' approximate function. Many academics have recently focused on convexity in uncertain environments or soft and fuzzy structures. This paper examines the traditional concepts of -convex and -concave sets in a hypersoft set context, discussing their fundamental inclusive features and set-theoretic operations. Furthermore, traditional notions of first and second senses for convexity are applied to suggested convex structures to provide more broadly applicable outcomes for ambiguous situations. |
| format | Article |
| id | doaj-art-abbb07c5d33e44219f764ad99598f780 |
| institution | Kabale University |
| issn | 2783-4956 2821-014X |
| language | English |
| publishDate | 2023-12-01 |
| publisher | REA Press |
| record_format | Article |
| series | Big Data and Computing Visions |
| spelling | doaj-art-abbb07c5d33e44219f764ad99598f7802025-01-30T12:23:09ZengREA PressBig Data and Computing Visions2783-49562821-014X2023-12-013419620810.22105/bdcv.2023.192676192676A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settingsAtiqe Ur Rahman0Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan.Sub-attribute-valued sets are occasionally viewed as more significant in real-life circumstances than a single set of attributes. The current models that deal with ambiguity and uncertainty, or soft sets, are insufficient to address such situations. To adequately fit the current models for multi-attributive sets, the hypersoft set, an extension of the soft set, has been developed. The multi-argument approximate function takes the place of the soft sets' approximate function. Many academics have recently focused on convexity in uncertain environments or soft and fuzzy structures. This paper examines the traditional concepts of -convex and -concave sets in a hypersoft set context, discussing their fundamental inclusive features and set-theoretic operations. Furthermore, traditional notions of first and second senses for convexity are applied to suggested convex structures to provide more broadly applicable outcomes for ambiguous situations.https://www.bidacv.com/article_192676_2f6b5764cafca835c46d29b1ef41d5f1.pdfsoft sethypersoft setconvex hypersoft setconcave hypersoft set(θβ)-convex hypersoft set52a2052a0752a99 |
| spellingShingle | Atiqe Ur Rahman A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings Big Data and Computing Visions soft set hypersoft set convex hypersoft set concave hypersoft set (θ β)-convex hypersoft set 52a20 52a07 52a99 |
| title | A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings |
| title_full | A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings |
| title_fullStr | A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings |
| title_full_unstemmed | A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings |
| title_short | A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings |
| title_sort | theoretical context for θ β convexity and θ β concavity with hypersoft settings |
| topic | soft set hypersoft set convex hypersoft set concave hypersoft set (θ β)-convex hypersoft set 52a20 52a07 52a99 |
| url | https://www.bidacv.com/article_192676_2f6b5764cafca835c46d29b1ef41d5f1.pdf |
| work_keys_str_mv | AT atiqeurrahman atheoreticalcontextforthbconvexityandthbconcavitywithhypersoftsettings AT atiqeurrahman theoreticalcontextforthbconvexityandthbconcavitywithhypersoftsettings |