A new operation on soft sets: extended symmetric difference of soft sets

Introduction/purpose: Molodtsov introduced the concept of soft sets as a new mathematical tool for dealing with problems containing uncertainties. In the literature, different kinds of operations of soft sets are defined and used in theory and applications. Methods: This study is based on the pa...

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Autor principal: Nenad S. Stojanović
Formato: article
Lenguaje:EN
Publicado: University of Defence in Belgrade 2021
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Acceso en línea:https://doaj.org/article/280f267c3a0d4a1cb9a75c5456a0fc5e
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spelling oai:doaj.org-article:280f267c3a0d4a1cb9a75c5456a0fc5e2021-11-07T14:12:21ZA new operation on soft sets: extended symmetric difference of soft sets10.5937/vojtehg69-336550042-84692217-4753https://doaj.org/article/280f267c3a0d4a1cb9a75c5456a0fc5e2021-10-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2021/0042-84692104779S.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/purpose: Molodtsov introduced the concept of soft sets as a new mathematical tool for dealing with problems containing uncertainties. In the literature, different kinds of operations of soft sets are defined and used in theory and applications. Methods: This study is based on the paper "A New Operation on Soft Sets: Extended Difference of Soft Sets" by Sezgin, Ahmad and Mehmood [Journal of New Theory 27 (2019) 33-42]. Results: In this paper, we define a new operation on soft sets, called extended symmetric difference and investigate its relationship between extended symmetric difference and restricted symmetric difference and some other operations of soft sets. Conclusion: The author believes that the obtained results represent a significant improvement of many known results in the existing literature.Nenad S. StojanovićUniversity of Defence in Belgradearticlesoft setsintersectionuniondifferenceextended symmetric differenceMilitary ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 69, Iss 4, Pp 779-791 (2021)
institution DOAJ
collection DOAJ
language EN
topic soft sets
intersection
union
difference
extended symmetric difference
Military Science
U
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle soft sets
intersection
union
difference
extended symmetric difference
Military Science
U
Engineering (General). Civil engineering (General)
TA1-2040
Nenad S. Stojanović
A new operation on soft sets: extended symmetric difference of soft sets
description Introduction/purpose: Molodtsov introduced the concept of soft sets as a new mathematical tool for dealing with problems containing uncertainties. In the literature, different kinds of operations of soft sets are defined and used in theory and applications. Methods: This study is based on the paper "A New Operation on Soft Sets: Extended Difference of Soft Sets" by Sezgin, Ahmad and Mehmood [Journal of New Theory 27 (2019) 33-42]. Results: In this paper, we define a new operation on soft sets, called extended symmetric difference and investigate its relationship between extended symmetric difference and restricted symmetric difference and some other operations of soft sets. Conclusion: The author believes that the obtained results represent a significant improvement of many known results in the existing literature.
format article
author Nenad S. Stojanović
author_facet Nenad S. Stojanović
author_sort Nenad S. Stojanović
title A new operation on soft sets: extended symmetric difference of soft sets
title_short A new operation on soft sets: extended symmetric difference of soft sets
title_full A new operation on soft sets: extended symmetric difference of soft sets
title_fullStr A new operation on soft sets: extended symmetric difference of soft sets
title_full_unstemmed A new operation on soft sets: extended symmetric difference of soft sets
title_sort new operation on soft sets: extended symmetric difference of soft sets
publisher University of Defence in Belgrade
publishDate 2021
url https://doaj.org/article/280f267c3a0d4a1cb9a75c5456a0fc5e
work_keys_str_mv AT nenadsstojanovic anewoperationonsoftsetsextendedsymmetricdifferenceofsoftsets
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