Fuzziness and Roughness in Hyperquantales

Fuzziness and Roughness in Hyperquantales

Theories of fuzzy set and rough set are powerful mathematical tools for modelling various types of uncertainty. In this paper, we introduce the notions of bi-hyperideal, fuzzy bi-hyperideals of hyperquantales and their related properties is given. Furthermore we introduce the notion of generalized r...

Full description

Bibliographic Details
Main Authors: Raees Khan, Maslina Darus, Muhammad Farooq, Asghar Khan, Nasir Khan
Format: Article
Language:English
Published: Etamaths Publishing 2020-09-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/2215
id doaj-69aa6718ae754754917b798b2b59b335
record_format Article
spelling doaj-69aa6718ae754754917b798b2b59b3352021-08-26T13:44:40ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392020-09-011869981014494Fuzziness and Roughness in HyperquantalesRaees Khan0Maslina Darus1Muhammad Farooq2Asghar Khan3Nasir Khan4FATA University, Darra Adam Khel N.M.D. Kohat, KP, PakistanBacha Khan University, Charsadda, KP, PakistanAbdul Wali Khan University, Mardan, KP, PakistanAbdul Wali Khan University, Mardan, KP, PakistanAbdul Wali Khan University, Mardan, KP, PakistanTheories of fuzzy set and rough set are powerful mathematical tools for modelling various types of uncertainty. In this paper, we introduce the notions of bi-hyperideal, fuzzy bi-hyperideals of hyperquantales and their related properties is given. Furthermore we introduce the notion of generalized rough fuzzy bi-hyperideals. Moreover, we will describe the set-valued homomorphism and strong set-valued homomorphism of hyperquantales and some related properties will be study.http://etamaths.com/index.php/ijaa/article/view/2215
collection DOAJ
language English
format Article
sources DOAJ
author Raees Khan
Maslina Darus
Muhammad Farooq
Asghar Khan
Nasir Khan
spellingShingle Raees Khan
Maslina Darus
Muhammad Farooq
Asghar Khan
Nasir Khan
Fuzziness and Roughness in Hyperquantales
International Journal of Analysis and Applications
author_facet Raees Khan
Maslina Darus
Muhammad Farooq
Asghar Khan
Nasir Khan
author_sort Raees Khan
title Fuzziness and Roughness in Hyperquantales
title_short Fuzziness and Roughness in Hyperquantales
title_full Fuzziness and Roughness in Hyperquantales
title_fullStr Fuzziness and Roughness in Hyperquantales
title_full_unstemmed Fuzziness and Roughness in Hyperquantales
title_sort fuzziness and roughness in hyperquantales
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2020-09-01
description Theories of fuzzy set and rough set are powerful mathematical tools for modelling various types of uncertainty. In this paper, we introduce the notions of bi-hyperideal, fuzzy bi-hyperideals of hyperquantales and their related properties is given. Furthermore we introduce the notion of generalized rough fuzzy bi-hyperideals. Moreover, we will describe the set-valued homomorphism and strong set-valued homomorphism of hyperquantales and some related properties will be study.
url http://etamaths.com/index.php/ijaa/article/view/2215
work_keys_str_mv AT raeeskhan fuzzinessandroughnessinhyperquantales
AT maslinadarus fuzzinessandroughnessinhyperquantales
AT muhammadfarooq fuzzinessandroughnessinhyperquantales
AT asgharkhan fuzzinessandroughnessinhyperquantales
AT nasirkhan fuzzinessandroughnessinhyperquantales
_version_ 1721193483128012800

Similar Items