{"title":"软集上的一个新运算:791扩展软集对称差分","authors":"Nenad Stojanović","doi":"10.5937/vojtehg69-33655","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":30576,"journal":{"name":"Vojnotehnicki Glasnik","volume":"57 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A new operation on soft sets: 791 extended symmetric difference of soft sets\",\"authors\":\"Nenad Stojanović\",\"doi\":\"10.5937/vojtehg69-33655\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":30576,\"journal\":{\"name\":\"Vojnotehnicki Glasnik\",\"volume\":\"57 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vojnotehnicki Glasnik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5937/vojtehg69-33655\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vojnotehnicki Glasnik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5937/vojtehg69-33655","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
简介/目的:Molodtsov引入了软集的概念，作为处理包含不确定性问题的一种新的数学工具。在文献中，定义了不同类型的软集运算，并将其应用于理论和应用中。方法:本研究基于Sezgin, Ahmad和Mehmood的论文“A New Operation on Soft Sets: Extended Difference of Soft Sets”[Journal of New Theory] 27(2019) 33-42。结果:本文在软集上定义了一种新的操作，称为扩展对称差分，并研究了它与扩展对称差分和限制对称差分之间的关系，以及其他一些软集操作。结论:作者认为所获得的结果是对现有文献中许多已知结果的显著改进。
A new operation on soft sets: 791 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 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.
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