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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
Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.1-4
J. Kacprzyk
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
Fellow、IEEE、IET、EurAI、IFIP、IFSA、SMIA正式会员、波兰科学院会员、欧洲科学院会员、欧洲科学与艺术学院会员、国际系统与控制科学学院外籍会员、保加利亚科学院外籍会员、芬兰科学与文学学会外籍会员、比利时皇家佛兰德科学与艺术学院外籍会员、西班牙皇家经济与金融科学学院
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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
Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.53-59
M. Vassilev-Missana
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.
引入并证明了不等式mu ^ {frac{1}{nu}} + nu ^ {frac{1}{mu}}leq 1,其中mu和nu为实数,其中mu、nuin[0,1]和mu + nuleq 1。同样的不等式也适用于mu = mu _A(x), nu = nu _A(x),其中mu _A和nu _A是任意直觉模糊集A在固定宇宙E和x in E上的隶属函数和非隶属函数。此外,对任意n geq 2提出并证明了上述不等式的推广。
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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
Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.9-23
K. Atanassov, Nora A. Angelova
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.
在[24]中,G. Klir和B. Yuan以L. Zadeh命名了隐含p→q = max(1−p, min(p, q))。在一系列的论文中,作者介绍了Zadeh蕴涵的两种直觉模糊形式,并研究了它们的基本性质。本文给出了Zadeh蕴涵的一种新的(第三种)直觉模糊形式,并研究了它的一些性质。
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引用次数: 0
Lotfi Zadeh – some personal memories Lotfi Zadeh——一些个人回忆
Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.5-8
E. Szmidt
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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
Pub Date : 2021-06-01 DOI: 10.7546/nifs.2021.27.1.24-52
C. Kahraman, Nurşah Alkan
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
一般2型模糊集的隶属函数是三维的,目的是通过三维来体现其模糊性。类似地,Atanassov(2020)最近引入了圆形直觉模糊集(Circular intuitionistic fuzzy set, cifs)作为直觉模糊集的新扩展,用圆形表示隶属函数的模糊度。cifs允许决策者表达他们的判断,包括这种模糊性。本研究将最常用的多准则决策方法之一TOPSIS方法扩展到其CIF版本。将所提出的CIF-TOPSIS方法应用于供应商选择问题。然后,进行了基于准则权重的灵敏度分析,以检验所提方法的鲁棒性。通过与单值直觉模糊TOPSIS方法的对比分析,验证了该方法的有效性
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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
Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.53-63
Tamanna Tasnim Prova, Md. Sahadat Hossain
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.
在本文中,我们定义了基于直觉模糊的正则空间和正规空间的概念。我们还研究了经典正则空间和正规空间也是基于直觉模糊的正则空间和正规空间,但一般情况下,它们的相反是不成立的。这一概念为经典正则空间和正规空间的泛化开辟了一个新的概念。研究了基于直觉模糊的正则空间和正则空间的遗传性质和拓扑性质。此外,通过举例证明了基于直觉模糊的正则空间和基于直觉模糊的正态空间不一定是T1空间。最后,证明了在某些条件下,图像和同胚图像在基于直觉模糊的正则和正态空间中是保持的。
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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
Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.71-79
Zhelyana Ivanova, Veselina Bureva
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.
在目前的研究工作中,研究了一种多模态生物识别系统。它结合了掌纹认证和掌纹几何识别两种方法。该系统将用于管理访问控制。应用广义网络模型对生物特征认证过程进行建模。所构建的基于手掌几何形状和手掌静脉匹配的广义网络模型,可用于对真实过程的仿真。采用直觉模糊评价法将用户特征与数据库中的模板进行比较。
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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
Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.9-52
K. Atanassov
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.
本文讨论并举例说明了使用广义网络和直觉模糊集作为数据挖掘过程和工具的建模和评估手段的可能性。
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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
Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.90-106
Veselina Bureva, Lilija Atanassova, K. Atanassov, A. Zlatarov
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.
引入了时间直觉模糊对的概念。它被用来评估在二维正交网格细胞的一些火灾区域上应用的博弈建模方法的结果。
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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
Pub Date : 2020-12-01 DOI: 10.7546/NIFS.2020.26.4.64-70
R. K. Nivendhaa, R. Parvathi
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.
通常在图像处理中,二值图像(黑白图像)和灰度图像分别用清晰集和模糊集表示。本文尝试用直觉模糊指标矩阵表示彩色图像(RGB)。该表示的目的是将数学算子应用于直觉模糊索引矩阵,以处理RGB图像。
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引用次数: 0
期刊
Notes on Intuitionistic Fuzzy Sets
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