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Notes on Intuitionistic Fuzzy Sets最新文献

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Lotfi A. Zadeh: A great researcher and scholar already before fuzzy sets/logic Lotfi A. Zadeh:在模糊集/逻辑之前就已经是一个伟大的研究者和学者了
Notes on Intuitionistic Fuzzy Sets Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.1-4
J. Kacprzyk
{"title":"Lotfi A. Zadeh: A great researcher and scholar already before fuzzy sets/logic","authors":"J. Kacprzyk","doi":"10.7546/nifs.2021.27.1.1-4","DOIUrl":"https://doi.org/10.7546/nifs.2021.27.1.1-4","url":null,"abstract":"Fellow, IEEE, IET, EurAI, IFIP, IFSA, SMIA Full member, Polish Academy of Sciences Member, Academia Europaea Member, European Academy of Sciences and Arts Member, International Academy for Systems and Cybernetic Sciences Foreign member, Bulgarian Academy of Sciences Foreign member, Finnish Society of Sciences and Letters Foreign member, Royal Flemish Academy of Belgium for Sciences and the Arts Foreign member, Spanish Royal Academy of Economic and Financial Sciences","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115298829","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
Note on one inequality and its application in intuitionistic fuzzy sets theory. Part 1 一个不等式及其在直觉模糊集理论中的应用。第1部分
Notes on Intuitionistic Fuzzy Sets Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.53-59
M. Vassilev-Missana
{"title":"Note on one inequality and its application in intuitionistic fuzzy sets theory. Part 1","authors":"M. Vassilev-Missana","doi":"10.7546/nifs.2021.27.1.53-59","DOIUrl":"https://doi.org/10.7546/nifs.2021.27.1.53-59","url":null,"abstract":"The inequality mu^{frac{1}{nu}} + nu^{frac{1}{mu}} leq 1 is introduced and proved, where mu and nu are real numbers, for which mu, nu in [0, 1] and mu + nu leq 1. The same inequality is valid for mu = mu_A(x), nu = nu_A(x), where mu_A and nu_A are the membership and the non-membership functions of an arbitrary intuitionistic fuzzy set A over a fixed universe E and x in E. Also, a generalization of the above inequality for arbitrary n geq 2 is proposed and proved.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131364706","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
Modifications of the Third Zadeh’s intuitionistic fuzzy implication 第三种扎德的直觉模糊含义的修正
Notes on Intuitionistic Fuzzy Sets Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.9-23
K. Atanassov, Nora A. Angelova
{"title":"Modifications of the Third Zadeh’s intuitionistic fuzzy implication","authors":"K. Atanassov, Nora A. Angelova","doi":"10.7546/nifs.2021.27.1.9-23","DOIUrl":"https://doi.org/10.7546/nifs.2021.27.1.9-23","url":null,"abstract":"In [24], G. Klir and B. Yuan named after L. Zadeh the implication p → q = max(1 − p, min(p, q)). In a series of papers, the author introduced two intuitionistic fuzzy forms of Zadeh’s implication and their basic properties have been studied. In the present paper, a new (third) intuitionistic fuzzy form of Zadeh’s implication is given and some of its properties are studied.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134346754","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
Lotfi Zadeh – some personal memories Lotfi Zadeh——一些个人回忆
Notes on Intuitionistic Fuzzy Sets Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.5-8
E. Szmidt
{"title":"Lotfi Zadeh – some personal memories","authors":"E. Szmidt","doi":"10.7546/nifs.2021.27.1.5-8","DOIUrl":"https://doi.org/10.7546/nifs.2021.27.1.5-8","url":null,"abstract":"","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133310233","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
Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context 具有模糊隶属函数的循环直觉模糊TOPSIS方法:供应商选择应用环境
Notes on Intuitionistic Fuzzy Sets Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.24-52
C. Kahraman, Nurşah Alkan
{"title":"Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context","authors":"C. Kahraman, Nurşah Alkan","doi":"10.7546/nifs.2021.27.1.24-52","DOIUrl":"https://doi.org/10.7546/nifs.2021.27.1.24-52","url":null,"abstract":"The membership function of a general type-2 fuzzy set is three-dimensional in order to incorporate its vagueness through the third dimension. Similarly, Circular intuitionistic fuzzy sets (CIFSs) have been recently introduced by Atanassov (2020) as a new extension of intuitionistic fuzzy sets, which are represented by a circle representing the vagueness of the membership function. CIFSs allow decision-makers to express their judgments including this vagueness. In this study, the TOPSIS method, which is one of the most used multi-criteria decision-making methods is extended to its CIF version. The proposed CIF-TOPSIS methodology is applied to the supplier selection problem. Then, a sensitivity analysis based on criteria weights is conducted to check the robustness of the proposed approach. A comparative analysis with single-valued intuitionistic fuzzy TOPSIS method is also performed to verify the developed approach and to demonstrate its effectiveness","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130640236","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: 26
Intuitionistic fuzzy based regular and normal spaces 基于直觉模糊的正则和正态空间
Notes on Intuitionistic Fuzzy Sets Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.53-63
Tamanna Tasnim Prova, Md. Sahadat Hossain
{"title":"Intuitionistic fuzzy based regular and normal spaces","authors":"Tamanna Tasnim Prova, Md. Sahadat Hossain","doi":"10.7546/NIFS.2020.26.4.53-63","DOIUrl":"https://doi.org/10.7546/NIFS.2020.26.4.53-63","url":null,"abstract":"In this paper, we define the notion of intuitionistic fuzzy based regular and normal spaces. We also study that classical regular and normal spaces are also intuitionistic fuzzy based regular and normal spaces but the converses are not true in general. This notion opens up a new conception of generalization of classical regular and normal spaces. The hereditary and topological properties of intuitionistic fuzzy based regular and normal spaces have been also investigated. Moreover, by setting some examples we show that every intuitionistic fuzzy based regular space as well as intuitionistic fuzzy based normal space need not be T1 spaces. Finally, it is shown that under some conditions the images and homeomorphic images are preserved in intuitionistic fuzzy based regular and normal spaces.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132362613","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
Generalized net model of a biometric authentication system based on palm geometry and palm vein matching using intuitionistic fuzzy evaluations 基于手掌几何和手掌静脉匹配的直觉模糊评价生物特征认证系统的广义网络模型
Notes on Intuitionistic Fuzzy Sets Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.71-79
Zhelyana Ivanova, Veselina Bureva
{"title":"Generalized net model of a biometric authentication system based on palm geometry and palm vein matching using intuitionistic fuzzy evaluations","authors":"Zhelyana Ivanova, Veselina Bureva","doi":"10.7546/NIFS.2020.26.4.71-79","DOIUrl":"https://doi.org/10.7546/NIFS.2020.26.4.71-79","url":null,"abstract":"In the current research work a multimodal biometric system is investigated. It combines the palm vein authentication and palm geometry recognition methods. The system will be used to manage the access control. The apparatus of generalized nets is applied to model the biometric authentication processes. The constructed generalized net model of biometric authentication system based on palm geometry and palm vein matching using intuitionistic fuzzy evaluations can be used for simulation of the real processes. The intuitionistic fuzzy evaluations are used to compare the user traits with the templates stored in database.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126540691","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
Generalized nets and intuitionistic fuzziness as tools for modelling of data mining processes and tools 广义网络和直觉模糊作为数据挖掘过程和工具的建模工具
Notes on Intuitionistic Fuzzy Sets Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.9-52
K. Atanassov
{"title":"Generalized nets and intuitionistic fuzziness as tools for modelling of data mining processes and tools","authors":"K. Atanassov","doi":"10.7546/NIFS.2020.26.4.9-52","DOIUrl":"https://doi.org/10.7546/NIFS.2020.26.4.9-52","url":null,"abstract":"The possibilities for using the apparatuses of generalized nets and intuitionistic fuzzy sets as means for modelling and evaluation of Data Mining processes and tools are discussed and illustrated by examples.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130730824","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
Game method for modelling with temporal intuitionistic fuzzy evaluations for locating the wildfire ignition point 基于时间直觉模糊评价的野火着火点定位博弈建模方法
Notes on Intuitionistic Fuzzy Sets Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.90-106
Veselina Bureva, Lilija Atanassova, K. Atanassov, A. Zlatarov
{"title":"Game method for modelling with temporal intuitionistic fuzzy evaluations for locating the wildfire ignition point","authors":"Veselina Bureva, Lilija Atanassova, K. Atanassov, A. Zlatarov","doi":"10.7546/NIFS.2020.26.4.90-106","DOIUrl":"https://doi.org/10.7546/NIFS.2020.26.4.90-106","url":null,"abstract":"The concept of a temporal intuitionistic fuzzy pair is introduced. It is used for an evaluation of the results of a Game Method for Modelling applied over some areas of fire in a two-dimensional orthogonal grid of cells.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128737515","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
Intuitionistic fuzzy index matrix representation of color images 彩色图像的直观模糊指数矩阵表示
Notes on Intuitionistic Fuzzy Sets Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.64-70
R. K. Nivendhaa, R. Parvathi
{"title":"Intuitionistic fuzzy index matrix representation of color images","authors":"R. K. Nivendhaa, R. Parvathi","doi":"10.7546/NIFS.2020.26.4.64-70","DOIUrl":"https://doi.org/10.7546/NIFS.2020.26.4.64-70","url":null,"abstract":"It is usual in image processing that binary (black & white) and gray images are represented by crisp sets and fuzzy sets respectively. In this paper, an attempt has been made to represent a color image (RGB) using intuitionistic fuzzy index matrices. The objective of this representation is to apply mathematical operators on intuitionistic fuzzy index matrices in processing RGB images.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129730781","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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