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Normal Bipolar Fuzzy Ideals in Non-involutive Residuated Lattices 被引量:3
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作者 Chunhui LIU 《Journal of Mathematical Research with Applications》 CSCD 2020年第5期441-452,共12页
In this paper, the problem of bipolar fuzzy ideal is further studied in non-involutive residuated lattices. The notion of normal bipolar fuzzy ideal is introduced, some important properties and equivalent characteriza... In this paper, the problem of bipolar fuzzy ideal is further studied in non-involutive residuated lattices. The notion of normal bipolar fuzzy ideal is introduced, some important properties and equivalent characterizations of normal bipolar fuzzy ideals are obtained. In addition, two special types of normal bipolar fuzzy ideals are defined, which are called maxima and completely normal bipolar fuzzy ideals, respectively, and their relationships are discussed.This work further expands the way for revealing the structural characteristics of non-involutive residuated lattices. 展开更多
关键词 non-classical logic non-involutive residuated lattice bipolar fuzzy set normal bipolar fuzzy ideal
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Generalized Normalized Euclidean Distance Based Fuzzy Soft Set Similarity for Data Classification 被引量:2
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作者 Rahmat Hidayat Iwan Tri Riyadi Yanto +2 位作者 Azizul Azhar Ramli Mohd Farhan Md.Fudzee Ansari Saleh Ahmar 《Computer Systems Science & Engineering》 SCIE EI 2021年第7期119-130,共12页
Classification is one of the data mining processes used to predict predetermined target classes with data learning accurately.This study discusses data classification using a fuzzy soft set method to predict target cl... Classification is one of the data mining processes used to predict predetermined target classes with data learning accurately.This study discusses data classification using a fuzzy soft set method to predict target classes accurately.This study aims to form a data classification algorithm using the fuzzy soft set method.In this study,the fuzzy soft set was calculated based on the normalized Hamming distance.Each parameter in this method is mapped to a power set from a subset of the fuzzy set using a fuzzy approximation function.In the classification step,a generalized normalized Euclidean distance is used to determine the similarity between two sets of fuzzy soft sets.The experiments used the University of California(UCI)Machine Learning dataset to assess the accuracy of the proposed data classification method.The dataset samples were divided into training(75%of samples)and test(25%of samples)sets.Experiments were performed in MATLAB R2010a software.The experiments showed that:(1)The fastest sequence is matching function,distance measure,similarity,normalized Euclidean distance,(2)the proposed approach can improve accuracy and recall by up to 10.3436%and 6.9723%,respectively,compared with baseline techniques.Hence,the fuzzy soft set method is appropriate for classifying data. 展开更多
关键词 Soft set fuzzy soft set CLASSIFICATION normalized euclidean distance SIMILARITY
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Normality and Its Variants on Fuzzy Isotone Spaces
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作者 Stephen M. Gathigi Moses N. Gichuki +1 位作者 Paul A. Otieno Hezron S. Were 《Advances in Pure Mathematics》 2013年第7期639-642,共4页
The study of fuzzy sets is specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extende... The study of fuzzy sets is specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extended to other areas of topology where various topological concepts have been shown to hold on fuzzy topology. Some notions naturally extend to closure spaces without requiring a lot of modification of the underlying topological ideas. This work investigates the variants of normality on fuzzy isotone spaces. 展开更多
关键词 fuzzy Sets fuzzy CLOSURE SPACE fuzzy Isotone SPACE fuzzy normalITY
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Fuzzy Multi-Criteria Decision Support System for the Best Anti-Aging Treatment Selection Process through Normal Wiggly Hesitant Fuzzy Sets
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作者 Daekook Kang Ramya Lakshmanaraj +5 位作者 Samayan Narayanamoorthy Navaneethakrishnan Suganthi Keerthana Devi Samayan Kalaiselvan Ranganathan Saraswathy Dragan Pamucar Vladimir Simic 《Computers, Materials & Continua》 SCIE EI 2024年第9期4947-4972,共26页
This socialized environment among educated and developed people causes themto focusmore on their appearance and health,which turns them towards medical-related treatments,leading us to discuss anti-aging treatment met... This socialized environment among educated and developed people causes themto focusmore on their appearance and health,which turns them towards medical-related treatments,leading us to discuss anti-aging treatment methods for each age group,particularly for urban people who are interested in this.Some anti-aging therapies are used to address the alterations brought on by aging in human life without the need for surgery or negative effects.Five anti-aging therapies such as microdermabrasion or dermabrasion,laser resurfacing anti-aging skin treatments,chemical peels,dermal fillers for aged skin,and botox injections are considered in this study.Based on the criteria of safety risk,investment cost,customer happiness,and side effects,the optimal alternative is picked.As a result,a NormalWiggly Hesitant Pythagorean Fuzzy Set(NWHPFS)is constructed and used in Multi-Criteria Decision-Making(MCDM)using traditional wavy mathematical approaches.The entropy approach is utilized to determine weight values,and the Normal Wiggly Hesitant Pythagorean-VlseKriterijumska Optimizacija I Kompromisno Resenje(NWHPF-VIKOR)method is utilized to rank alternatives using MCDM methodologies.Sensitivity analysis and comparative analysis were performed to ensure the robustness and reliability of the proposed method.The smart final choice will undoubtedly assist Decision Makers(DM)in making the right judgments,and the MCDM approach will undoubtedly assist individuals in understanding the medicine. 展开更多
关键词 normal wiggly hesitant pythagorean fuzzy set hesitant pythagorean fuzzy set anti-aging treatment entropy VIse Kriterijumska Optimizacija I Kompromisno Resenje
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Aggregation operators and CRITIC-VIKOR method for confidence complex q-rung orthopair normal fuzzy information and their applications
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作者 Tahir Mahmood Zeeshan Ali Muhammad Naeem 《CAAI Transactions on Intelligence Technology》 SCIE EI 2023年第1期40-63,共24页
Supply chain management is an essential part of an organisation's sustainable programme.Understanding the concentration of natural environment,public,and economic influence and feasibility of your suppliers and pu... Supply chain management is an essential part of an organisation's sustainable programme.Understanding the concentration of natural environment,public,and economic influence and feasibility of your suppliers and purchasers is becoming progressively familiar as all industries are moving towards a massive sustainable potential.To handle such sort of developments in supply chain management the involvement of fuzzy settings and their generalisations is playing an important role.Keeping in mind this role,the aim of this study is to analyse the role and involvement of complex q-rung orthopair normal fuzzy(CQRONF)information in supply chain management.The major impact of this theory is to analyse the notion of confidence CQRONF weighted averaging,confidence CQRONF ordered weighted averaging,confidence CQRONF hybrid averaging,confidence CQRONF weighted geometric,confidence CQRONF ordered weighted geometric,confidence CQRONF hybrid geometric operators and try to diagnose various properties and results.Furthermore,with the help of the CRITIC and VIKOR models,we diagnosed the novel theory of the CQRONF-CRITIC-VIKOR model to check the sensitivity analysis of the initiated method.Moreover,in the availability of diagnosed operators,we constructed a multi-attribute decision-making tool for finding a beneficial sustainable supplier to handle complex dilemmas.Finally,the initiated operator's efficiency is proved by comparative analysis. 展开更多
关键词 averaging/geometric aggregation operators complex q-rung orthopair normal fuzzy information confidence levels strategic decision-making methods
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A Model of Fuzzy Normal Distribution
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作者 Haoge Liu Jianhe Guan 《Open Journal of Statistics》 2016年第5期749-755,共7页
Nowadays fuzzy concepts are frequently used as statistical parameters, while the traditional normal distribution can only accept determinate variable. In order to design a practical model for fuzzy statistic events, t... Nowadays fuzzy concepts are frequently used as statistical parameters, while the traditional normal distribution can only accept determinate variable. In order to design a practical model for fuzzy statistic events, this paper combines the fuzzy number, like “may-occur”, “very-likely-occur”, “rarely-occur”, to optimize the normal distribution probability density function, to provide a significant method in statistics. 展开更多
关键词 fuzzy normal Distribution Composite Function’s Integral
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Identifying Suitable Sites for CSP Plants Using AHP,Fuzzy AHP,and Full Consistency Method:A Case Study of CHAD
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作者 Bernard Bayangbe Ababacar Thiam +1 位作者 El hadji I.Cissé Kory Faye 《Energy Engineering》 2025年第3期943-969,共27页
Concentrating Solar Power(CSP)is one of the most promising solar technologies for sustainable power generation in countrieswith high solar potential,likeChad.Identifying suitable sites is of great importance for deplo... Concentrating Solar Power(CSP)is one of the most promising solar technologies for sustainable power generation in countrieswith high solar potential,likeChad.Identifying suitable sites is of great importance for deploying solar power plants.This work focuses on the identification of potential sites for the installation of solar power plants in Chad as well as a comparative analysis using the Analytical Hierarchy Process(AHP),Fuzzy Analytical Hierarchy Process(FAHP),and Full Consistency Method(FUCOM).The results show that 35%of the Chadian territory,i.e.,an area of 449,400 km2,is compatible with the implementation of Concentrating Solar Power.The North,North,East,Southeast,and East zones are the most suitable.The main criteria for influence are direct normal irradiation,the soil slope,and the water resource.FUCOM gave a weight of 41.9%for Direct Normal Irradiation(DNI)compared to 32.71%and 31.81%for AHP and FAHP.This method can be applied to other renewable energy technologies such as photovoltaics,wind power,and biomass.Combining its different analyses will be a valuable tool for planning any renewable energy project in Chad.This work should also facilitate the techno-economic analysis of future CSP plants in Chad. 展开更多
关键词 Concentrating solar power analytical hierarchy process fuzzy analytical hierarchy process full consistency method geographic information system direct normal irradiation
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正态模糊集合——Fuzzy集理论的新拓展 被引量:4
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作者 吕泽华 陈传波 秦培煜 《计算机科学》 CSCD 北大核心 2006年第11期1-4,173,共5页
直觉模糊集(intuitionistic fuzzy sets)、区间值模糊集(interval-valued fuzzy sets)以及Vague集对普通fuzzy集的扩展是给出了隶属度的上下限,把隶属度从[0,1]区间中的一个单值推广到了[0,1]的子区间。但是该子区间犹如一个黑洞,隶属... 直觉模糊集(intuitionistic fuzzy sets)、区间值模糊集(interval-valued fuzzy sets)以及Vague集对普通fuzzy集的扩展是给出了隶属度的上下限,把隶属度从[0,1]区间中的一个单值推广到了[0,1]的子区间。但是该子区间犹如一个黑洞,隶属度在其内部的分布情况我们无从知晓,即这个子区间中的每一个值是等可能地作为元素的隶属度还是区间中的某些值较另外的值有更大的可能性呢?为了清晰的刻画出元素的隶属度在[0,1]区间中的分布情况,本文通过对投票模型的分析及正态分布理论,提出了一种新的模糊集合———正态模糊集合,同时对正态模糊集合的交、并、补等基本运算性质进行了讨论,文章最后对正态模糊集与fuzzy集、直觉模糊集的相互关系也作出了详细阐述。正态模糊集合是模糊集合理论的进一步推广,为我们处理模糊信息提供了一种全新的思想方法。 展开更多
关键词 fuzzy 直觉模糊集合 正态分布 正态模糊集
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广义Fuzzy子群的广义Fuzzy正规子群 被引量:2
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作者 曹姝 廖祖华 +1 位作者 刘春芝 胡淼菡 《江南大学学报(自然科学版)》 CAS 2010年第5期608-611,共4页
给出了广义模糊子群的广义模糊正规子群的定义,得到了它的一些等价条件和性质;另外,还获得了它的同态像与原像的相关性质。
关键词 模糊群 广义模糊子群 广义模糊正规子群 广义模糊子群的广义模糊正规子群
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Fuzzy相似矩阵方程X^2=X与最优模糊等价矩阵的存在性 被引量:7
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作者 何清 李洪兴 《模糊系统与数学》 CSCD 1999年第3期77-86,共10页
在文[1]基础上,对Fuzzy 相似矩阵方程X2= X 的解的结构进行了进一步研究。首先提出了Fuzzy 等价标准型的概念,为解的表达提供了工具; 第二,指出了相应标准分解过程的参数系的唯一性; 第三,在群作用观点下和平移... 在文[1]基础上,对Fuzzy 相似矩阵方程X2= X 的解的结构进行了进一步研究。首先提出了Fuzzy 等价标准型的概念,为解的表达提供了工具; 第二,指出了相应标准分解过程的参数系的唯一性; 第三,在群作用观点下和平移等价类的意义下,讨论了解的类数计算公式; 第四,给出了解的分类表达式; 最后,证明了“失真”最小的模糊等价阵,即Fuzzy 最优等价阵的存在性,为Fuzzy 展开更多
关键词 模糊相似矩阵 存在性 矩阵方程 模糊等价矩阵
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L-Fuzzy拓扑空间中一种新型的强F仿紧性 被引量:32
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作者 史福贵 郑崇友 《模糊系统与数学》 CSCD 1995年第3期40-48,共9页
本文引入一种新型的强F仿紧性─—Ⅲ型强F仿紧性,它是基于α-局部有限族概念提出的,这种α-局部有限族概念可用于刻划强F可数紧性。
关键词 强F可数紧性 LF拓扑空间 仿紧性 强F仿紧性
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Fuzzy集上基于一般蕴含算子的α-三I算法 被引量:7
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作者 徐章艳 杨炳儒 《广西师范大学学报(自然科学版)》 CAS 北大核心 2005年第4期42-45,共4页
先将经典蕴含算子泛化后得到[0,1]集上一般蕴含算子的定义,然后将α-三I算法推广到一般蕴含算子上.在分析了α-三IFM P原则的实质后,给出了基于一般蕴含算子的α-三I算法的通用计算公式,并分析了基于一般蕴含算子的α-三I算法的还原性.... 先将经典蕴含算子泛化后得到[0,1]集上一般蕴含算子的定义,然后将α-三I算法推广到一般蕴含算子上.在分析了α-三IFM P原则的实质后,给出了基于一般蕴含算子的α-三I算法的通用计算公式,并分析了基于一般蕴含算子的α-三I算法的还原性.最后给出了具体的蕴含算子来验证提出的通用计算公式. 展开更多
关键词 三Ⅰ原则 还原性 fuzzy 一般蕴含算子 CRI方法 正规fuzzy
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α-fuzzy子群 被引量:3
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作者 赵秋 袁学海 《辽宁师范大学学报(自然科学版)》 CAS 2000年第2期133-135,共3页
给出了一种新型的 fuzzy子群的定义 (称之为 α-fuzzy子群 ) ,它是 Rosenfeld的定义及 S.K.Bhakat和 P.Das定义的推广 .我们还给出了 α-fuzzy子群的等价定义 ,给出了正规 α-fuzzy子群的定义 ,研究了 α-fuzzy商群及 α-fuzzy子群的同... 给出了一种新型的 fuzzy子群的定义 (称之为 α-fuzzy子群 ) ,它是 Rosenfeld的定义及 S.K.Bhakat和 P.Das定义的推广 .我们还给出了 α-fuzzy子群的等价定义 ,给出了正规 α-fuzzy子群的定义 ,研究了 α-fuzzy商群及 α-fuzzy子群的同态象性质 . 展开更多
关键词 正规fuzzy子群 α-fuzzy子群 同态 商群
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基于鱼群算法优化normalized cut的彩色图像分割方法 被引量:4
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作者 周逊 郭敏 马苗 《计算机应用研究》 CSCD 北大核心 2013年第2期616-618,共3页
为了克服传统的谱聚类算法求解normalized cut彩色图像分割时,分割效果差、算法复杂度高的缺点,提出了一种基于鱼群算法优化normalized cut的彩色图像分割方法。先对图像进行模糊C-均值聚类预处理,然后用鱼群优化算法替代谱聚类算法求解... 为了克服传统的谱聚类算法求解normalized cut彩色图像分割时,分割效果差、算法复杂度高的缺点,提出了一种基于鱼群算法优化normalized cut的彩色图像分割方法。先对图像进行模糊C-均值聚类预处理,然后用鱼群优化算法替代谱聚类算法求解Ncut的最小值,最后通过最优个体鱼得到分割结果。实验表明,该方法耗时少,且分割效果好。 展开更多
关键词 模糊C-均值聚类 归一化划分 鱼群优化算法 彩色图像分割
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L-fuzzy子群的L-fuzzy同态 被引量:8
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作者 赵立军 《数学杂志》 CSCD 北大核心 2003年第4期503-506,共4页
给出了L-fuzzy子幺半群的概念及刻画.给出了一种真正的L-fuzzy子幺半群间的L-fuzzy同态和L-fuzzy同构等概念.最后证明了L-fuzzy子群在L-fuzzy同态映射和L-fuzzy同构逆映射下不变.
关键词 L-fuzzy子幺半群 L-fuzzy子群 L-fuzzy正规子群 L-fuzzy同态 L-fuzzy同构
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点态化Fuzzy幂群的转移定理 被引量:1
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作者 李扉 张振良 张金玲 《模糊系统与数学》 CSCD 北大核心 2006年第1期95-98,共4页
从F uz zy点的角度来研究F uz zy幂群,建立F uz zy幂群的转移定理,然后通过转移定理将分明幂群的许多概念和结论直接转到F uz zy幂群,揭示了F uz zy幂群与分明幂群的关系。
关键词 fuzzy幂群 正规fuzzy幂群 一致fuzzy幂群
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关于Fuzzy正规子群的一个注记 被引量:2
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作者 刘龙章 杨志辉 《科技通报》 北大核心 2003年第3期215-216,共2页
深入地研究了Fuzzy正规子群和生成Fuzzy正规子群的若干性质,从而推广了文献[3,5]中的相应结果.
关键词 代数学 fuzzy正规子群 生成fuzzy子群
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关于Fuzzy子格群的一些性质 被引量:4
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作者 赵希武 《内蒙古师范大学学报(自然科学汉文版)》 CAS 1989年第3期10-14,共5页
本文在Fuzzy格群的基础上引入格群的Fuzzy陪集、正规Fuzzy予格群、正规不变Fuzzy子格群和Fuzzy 商格群等概念,并讨论它们的性质,最后建立格群的Fuzzy 商格群与格群之间的联系。
关键词 fuzzy子格群 fuzzy陪集
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L-Fuzzy子群的L-Fuzzy直积的新刻画 被引量:1
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作者 吴广庆 杜萍 《模糊系统与数学》 CSCD 北大核心 2010年第1期14-18,共5页
研究L-fuzzy正规子群的性质,借助于L-fuzzy集A的水平截集A(a)和A[a],给出当L是完全分配格时L-fuzzy子群的L-fuzzy直积的若干等价刻画。
关键词 L-fuzzy子群 L-fuzzy正规子群 L-fuzzy子群的L-fuzzy直积
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Γ-群的Fuzzy同余(英文) 被引量:3
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作者 谢祥云 《模糊系统与数学》 CSCD 1999年第2期57-63,共7页
本文介绍了Γ-群的Fuzzy核正规系的概念,并通过该概念刻画了Γ-群的Fuzzy同余,得出和Γ-群同余刻画相类似的结论。
关键词 模糊同余 Г-群 模糊核正规系
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