Pub Date : 2023-07-01DOI: 10.7546/nifs.2023.29.2.85-89
P. Vassilev
In the present paper we introduce two new operators over intuitionistic fuzzy sets and study their properties.
本文在直觉模糊集上引入了两个新的算子，并研究了它们的性质。
{"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}
Pub Date : 2023-07-01DOI: 10.7546/nifs.2023.29.2.90-98
K. Čunderlíková
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.
{"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}
Pub Date : 2023-07-01DOI: 10.7546/nifs.2023.29.2.114-132
R. Rasuli
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.
{"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}
Pub Date : 2023-07-01DOI: 10.7546/nifs.2023.29.2.133-143
K. Atanassov
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.
{"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}
Pub Date : 2023-07-01DOI: 10.7546/nifs.2023.29.2.99-113
P. K. Sharma
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.
{"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}
Pub Date : 2023-04-01DOI: 10.7546/nifs.2023.29.1.65-73
P. K. Sharma
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.
{"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}
Pub Date : 2023-04-01DOI: 10.7546/nifs.2023.29.1.74-83
K. Atanassov
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.
{"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}
Pub Date : 2023-03-01DOI: 10.7546/nifs.2023.29.1.30-45
R. Rasuli
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.
本文利用范数(t-范数和t-适形)定义了群的q -直觉模糊子群，并研究了它们的一些性质和结构特征。
{"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}
Pub Date : 2023-03-01DOI: 10.7546/nifs.2023.29.1.56-64
Zlatko Yordanov, Veselina Bureva, Cengiz Kahraman
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.
{"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}
Pub Date : 2023-03-01DOI: 10.7546/nifs.2023.29.1.1-29
G. Prasannavengeteswari, K. Gunasekaran, S. Nandakumar
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.
{"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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：