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Notes on Intuitionistic Fuzzy Sets最新文献

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Several significant equalities on intuitionistic fuzzy operators 直觉模糊算子的几个重要等式
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-06-09 DOI: 10.7546/nifs.2022.28.2.132-148
Jaydip Bhattacharya
{"title":"Several significant equalities on intuitionistic fuzzy operators","authors":"Jaydip Bhattacharya","doi":"10.7546/nifs.2022.28.2.132-148","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.2.132-148","url":null,"abstract":"There are various operators and operations in intuitionistic fuzzy set theory. The roles of these operators and operations are very significant as they show a deeper interconnection between the two ordinary modal logic operators. It can be well noted that modal operators can change intuitionistic fuzzy sets into fuzzy sets easily. Considering all of these, we establish several equalities on intuitionistic fuzzy sets.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133996862","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
Z_2-graded intuitionistic L-fuzzy q-deformed quantum subspaces of A_q A_q的z_2级直觉l -模糊q-变形量子子空间
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-06-09 DOI: 10.7546/nifs.2022.28.2.93-112
Marzieh Mostafavi
{"title":"Z_2-graded intuitionistic L-fuzzy q-deformed quantum subspaces of A_q","authors":"Marzieh Mostafavi","doi":"10.7546/nifs.2022.28.2.93-112","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.2.93-112","url":null,"abstract":"In this paper, assuming that ⟨L, ≤〉 is a lattice set with a few specific conditions, intuitionistic L-fuzzy subalgebras, intuitionistic L-fuzzy subcoalgebras and intuitionistic L-fuzzy left (right) coideals are defined and the properties of intuitionistic L-fuzzy subcoalgebras under homomorphisms of coalgebras are investigated. Duality of intuitionistic L-fuzzy subalgebras and duality of intuitionistic L-fuzzy subcoalgebras are also discussed. Intuitionistic L-fuzzy subbialgebras as well as intuitionistic L-fuzzy Hoph subalgebras are studied. Intuitionistic L-fuzzy quantum subsets of k_q[x, y] are established and also Z2-graded intuitionistic L-fuzzy q-deformed quantum subspaces of A_q are introduced.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127497623","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
Primary interval-valued intuitionistic fuzzy M group 初等区间值直觉模糊M群
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-06-09 DOI: 10.7546/nifs.2022.28.2.120-131
G. Prasannavengeteswari, K. Gunasekaran, S. Nandakumar
{"title":"Primary interval-valued intuitionistic fuzzy M group","authors":"G. Prasannavengeteswari, K. Gunasekaran, S. Nandakumar","doi":"10.7546/nifs.2022.28.2.120-131","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.2.120-131","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 some properties are established.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127890579","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 fuzzy semiprime submodules 关于直觉模糊半素子模
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-06-09 DOI: 10.7546/nifs.2022.28.2.161-171
P. K. Sharma
{"title":"On intuitionistic fuzzy semiprime submodules","authors":"P. K. Sharma","doi":"10.7546/nifs.2022.28.2.161-171","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.2.161-171","url":null,"abstract":"The purpose of this paper is to extend the notion of ordinary semiprime submodules to intuitionistic fuzzy semiprime submodules. Also we introduce and study new properties of intuitionistic fuzzy semiprime submodules. Many related results are obtained.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132310437","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
The convergence of intuitionistic fuzzy sets 直觉模糊集的收敛性
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-03-31 DOI: 10.7546/nifs.2022.28.1.37-45
S. Melliani, M. Elomari, L. S. Chadli
{"title":"The convergence of intuitionistic fuzzy sets","authors":"S. Melliani, M. Elomari, L. S. Chadli","doi":"10.7546/nifs.2022.28.1.37-45","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.1.37-45","url":null,"abstract":"In the present paper, we first introduce a new intuitionistic fuzzy distance. Relationships between three kinds of convergences compared to this distance are studied in this paper. We will give necessary and sufficient conditions to have a convergence equivalence for these four metrics.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123493114","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
Software implementation of intuitionistic fuzzy sets and some operators 直觉模糊集和一些算子的软件实现
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-03-31 DOI: 10.7546/nifs.2022.28.1.51-85
E. Marinov
{"title":"Software implementation of intuitionistic fuzzy sets and some operators","authors":"E. Marinov","doi":"10.7546/nifs.2022.28.1.51-85","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.1.51-85","url":null,"abstract":"In this paper, we present a software implementation of the framework of Intuitionistic Fuzzy Sets (IFSs). The presented implementation allows the user to interactively shape an IFS, to compute, plot and visualize various of operators for IFS and allows for the modeling of real world problems.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121383387","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
A reply to Madera et al.'s "A method for optimizing a bidding strategy for online advertising through the use of intuitionistic fuzzy systems" 对Madera等人的“通过使用直觉模糊系统优化在线广告投标策略的方法”的回复
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-03-31 DOI: 10.7546/nifs.2022.28.1.46-50
Jan Tappé, Hendrik Müller
{"title":"A reply to Madera et al.'s \"A method for optimizing a bidding strategy for online advertising through the use of intuitionistic fuzzy systems\"","authors":"Jan Tappé, Hendrik Müller","doi":"10.7546/nifs.2022.28.1.46-50","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.1.46-50","url":null,"abstract":"In 2016, Madera et al. tested the performance of a fuzzy inference system against the Google Ads algorithms for optimizing the number of clicks, the click through rate (CTR) and the average cost per clicks to lower the cost of an advertising campaign [7]. The results of their experiments suggested that the implementation of their fuzzy inference system outperformed the Google Ads algorithms in terms of the obtained number of clicks and cost per clicks. While the research idea is with no doubts an interesting and valuable contribution to the fields of digital marketing research, in the opinion of the authors, their experimental setup was flawed. However, applying a few adjustments can lead to valid findings. This paper reflects on the flaws and suggests enhancements to correct them.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127279185","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
On the 3D-figure areas based on Pick's formula 基于匹克公式的3d图形区域
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-03-31 DOI: 10.7546/nifs.2022.28.1.86-92
K. Atanassov
{"title":"On the 3D-figure areas based on Pick's formula","authors":"K. Atanassov","doi":"10.7546/nifs.2022.28.1.86-92","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.1.86-92","url":null,"abstract":"This work is based on previous research focused on iterative procedures for estimation of the area surrounded by a simple closed curve in the 2D space. Pick's formula is employed for calculating the area surrounded by a special type of polygons. Here, we propose 3D-figure areas based on Pick's formula and give intuitionistic fuzzy and interval-valued intuitionistic fuzzy estimations of these areas.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"485 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124418895","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 the translational invariant intuitionistic fuzzy subset of a Γ-ring 论Γ环的平移不变直观模糊子集
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-03-31 DOI: 10.7546/nifs.2022.28.1.11-22
Hem Lata, P. K. Sharma
{"title":"On the translational invariant intuitionistic fuzzy subset of a Γ-ring","authors":"Hem Lata, P. K. Sharma","doi":"10.7546/nifs.2022.28.1.11-22","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.1.11-22","url":null,"abstract":"In this paper, we introduce the notion of translational invariant intuitionistic fuzzy subset of a Γ-ring and generalize some notions of a ring to a Γ-ring. Also, we define ideals of a Γ-ring generated by an intuitionistic fuzzy subset with an element of Γ-ring and study their properties. The notion of units, associate, prime element, irreducible element are also generalized with respect to the intuitionistic fuzzy subset of a Γ-ring. Further, we study the properties of homomorphic image and pre-image of translational invariant intuitionistic fuzzy subset under the Γ-ring homomorphism and we prove that every homomorphic image of a prime ideal of a Γ-ring generated by an Aγ-prime element and translational invariant and f-invariant intuitionistic fuzzy subset is also a prime ideal.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"139 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127333761","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 (r, s)-connectedness in intuitionistic fuzzy topological spaces 直觉模糊拓扑空间中的(r, s)-连通性
Notes on Intuitionistic Fuzzy Sets Pub Date : 2022-03-31 DOI: 10.7546/nifs.2022.28.1.23-36
Md. Aman Mahbub, Md. Sahadat Hossain, M. A. Hossain
{"title":"On (r, s)-connectedness in intuitionistic fuzzy topological spaces","authors":"Md. Aman Mahbub, Md. Sahadat Hossain, M. A. Hossain","doi":"10.7546/nifs.2022.28.1.23-36","DOIUrl":"https://doi.org/10.7546/nifs.2022.28.1.23-36","url":null,"abstract":"The aim of this paper is to establish the (r, s)-connectedness in intuitionistic fuzzy topological space. Here we give two new notions of (r, s)-connectedness and total (r, s)-connectedness in intuitionistic fuzzy topological space. Also, we find a relation about classical topology and intuitionistic fuzzy topology. Furthermore, using some provisos we will show that (r, s)-connectedness in intuitionistic fuzzy topological spaces are productive and some of its features.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133011013","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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