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Notes on Intuitionistic Fuzzy Sets最新文献

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Trigonometric-based operators over intuitionistic fuzzy sets 直觉模糊集上的三角算子
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-07-01 DOI: 10.7546/nifs.2023.29.2.85-89
P. Vassilev
{"title":"Trigonometric-based operators over intuitionistic fuzzy sets","authors":"P. Vassilev","doi":"10.7546/nifs.2023.29.2.85-89","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.2.85-89","url":null,"abstract":"In the present paper we introduce two new operators over intuitionistic fuzzy sets and study their properties.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132665243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
About the Lp space of intuitionistic fuzzy observables 关于直觉模糊可观测对象的Lp空间
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-07-01 DOI: 10.7546/nifs.2023.29.2.90-98
K. Čunderlíková
{"title":"About the Lp space of intuitionistic fuzzy observables","authors":"K. Čunderlíková","doi":"10.7546/nifs.2023.29.2.90-98","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.2.90-98","url":null,"abstract":"The aim of this paper is to define an $L^p$ space of intuitionistic fuzzy observables. We work in an intuitionistic fuzzy space $({mathcal F}, {bf m})$ with product, where $mathcal F$ is a family of intuitionistic fuzzy events and ${bf m}$ is an intuitionistic fuzzy state. We prove that the space $L^p$ with corresponding intuitionistic fuzzy pseudometric $rho_{IF}$ is a pseudometric space.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128991567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Normality and translation of IFS(G × Q) under norms IFS(G × Q)在范数下的正态性与平移
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-07-01 DOI: 10.7546/nifs.2023.29.2.114-132
R. Rasuli
{"title":"Normality and translation of IFS(G × Q) under norms","authors":"R. Rasuli","doi":"10.7546/nifs.2023.29.2.114-132","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.2.114-132","url":null,"abstract":"In this article, we introduce the idea of normality and translation of Q-intuitionistic fuzzy subgroups with respect to norms (t-norm T and t-conorm C) and some interesting results of them are given. Conditions for level cut subsets of them are explored and provided. Finally, we investigate them by using group homomorphisms are investigated.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116799230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Intuitionistic fuzzy bimodal topological structures 直觉模糊双峰拓扑结构
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-07-01 DOI: 10.7546/nifs.2023.29.2.133-143
K. Atanassov
{"title":"Intuitionistic fuzzy bimodal topological structures","authors":"K. Atanassov","doi":"10.7546/nifs.2023.29.2.133-143","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.2.133-143","url":null,"abstract":"Two new intuitionistic fuzzy operators from a modal type are defined. Some properties of these operators are studied. Based on them, four new intuitionistic fuzzy modal topological structures are introduced and after this, four intuitionistic fuzzy bimodal topological structures are constructed. All they are examples of modal and bimodal topological structures.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132918199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Intuitionistic L-fuzzy classical prime and intuitionistic L-fuzzy 2-absorbing submodules 直觉L-fuzzy经典素数与直觉L-fuzzy 2-吸收子模
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-07-01 DOI: 10.7546/nifs.2023.29.2.99-113
P. K. Sharma
{"title":"Intuitionistic L-fuzzy classical prime and intuitionistic L-fuzzy 2-absorbing submodules","authors":"P. K. Sharma","doi":"10.7546/nifs.2023.29.2.99-113","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.2.99-113","url":null,"abstract":"Let L be a complete lattice. We introduce and characterise intuitionistic L-fuzzy classical prime submodule and intuitionistic L-fuzzy 2-absorbing submodules of a unitary module M over a commutative ring R with identity. We compare both of these submodules with intuitionistic L-fuzzy prime submodules. It is proven that in the case of the multiplication module M, the two notions of intuitionistic L-fuzzy classical prime submodules and intuitionistic L-fuzzy prime submodules coincide. Many other related results concerning these notions are obtained.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122669463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On intuitionistic L-fuzzy socle of modules 关于模的直觉l -模糊集
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-04-01 DOI: 10.7546/nifs.2023.29.1.65-73
P. K. Sharma
{"title":"On intuitionistic L-fuzzy socle of modules","authors":"P. K. Sharma","doi":"10.7546/nifs.2023.29.1.65-73","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.1.65-73","url":null,"abstract":"In this paper we try to study the intuitionistic 𝐿-fuzzy aspects of socle of modules over rings. We demonstrate some properties of a socle of intuitionistic 𝐿-fuzzy submodules and their relations with intuitionistic 𝐿-fuzzy essential submodules and a family of intuitionistic 𝐿-fuzzy complemented submodules of a module. Some related results are also established.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132286662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On two new intuitionistic fuzzy topological operators and four new intuitionistic fuzzy feeble modal topological structures 两种新的直觉模糊拓扑算子和四种新的直觉模糊弱模态拓扑结构
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-04-01 DOI: 10.7546/nifs.2023.29.1.74-83
K. Atanassov
{"title":"On two new intuitionistic fuzzy topological operators and four new intuitionistic fuzzy feeble modal topological structures","authors":"K. Atanassov","doi":"10.7546/nifs.2023.29.1.74-83","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.1.74-83","url":null,"abstract":"In the intuitionistic fuzzy sets theory there are some intuitionistic fuzzy topological operators. Here, two new operators are defined, some of their properties are shown and on their basis, four new intuitionistic fuzzy feeble modal topological structures are introduced and some of their properties are discussed.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"97 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127117902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Norms over Q-intuitionistic fuzzy subgroups of a group 群的q -直觉模糊子群上的模
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-03-01 DOI: 10.7546/nifs.2023.29.1.30-45
R. Rasuli
{"title":"Norms over Q-intuitionistic fuzzy subgroups of a group","authors":"R. Rasuli","doi":"10.7546/nifs.2023.29.1.30-45","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.1.30-45","url":null,"abstract":"In this work, by using norms (t-norms and t-conorms), Q-intuitionistic fuzzy subgroups of a group are defined and investigated some of their properties and structured characteristics.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132847895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
InterCriteria Analysis applied to the Turkish Health and Social Protection datasets 标准间分析适用于土耳其健康和社会保护数据集
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-03-01 DOI: 10.7546/nifs.2023.29.1.56-64
Zlatko Yordanov, Veselina Bureva, Cengiz Kahraman
{"title":"InterCriteria Analysis applied to the Turkish Health and Social Protection datasets","authors":"Zlatko Yordanov, Veselina Bureva, Cengiz Kahraman","doi":"10.7546/nifs.2023.29.1.56-64","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.1.56-64","url":null,"abstract":"In the current investigation InterCriteria Analysis is applied to the main diseases declared by individuals in 15-and-over age group in the last 12 months. The information is downloaded from the website of TurkStat – Turkish Statistical Institute. The received outcomes present dependencies between the distribution of the health problems in Turkey and their frequency in the years.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127281698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Level operators over primary interval-valued intuitionistic fuzzy M group 初等区间值直觉模糊M群上的水平算子
Notes on Intuitionistic Fuzzy Sets Pub Date : 2023-03-01 DOI: 10.7546/nifs.2023.29.1.1-29
G. Prasannavengeteswari, K. Gunasekaran, S. Nandakumar
{"title":"Level operators over primary interval-valued intuitionistic fuzzy M group","authors":"G. Prasannavengeteswari, K. Gunasekaran, S. Nandakumar","doi":"10.7546/nifs.2023.29.1.1-29","DOIUrl":"https://doi.org/10.7546/nifs.2023.29.1.1-29","url":null,"abstract":"The concept of interval-valued intuitionistic fuzzy M group is extended by introducing primary interval-valued intuitionistic fuzzy M group and primary interval-valued intuitionistic fuzzy anti M group using this concept primary interval-valued intuitionistic fuzzy M group and primary interval-valued intuitionistic fuzzy anti M group is defined and using level operators and their properties are established.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"29 8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116595582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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