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Neutrosophic Sets and Systems最新文献

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Mapping Causes and Implications of India’s Skewed Sex Ratio and Poverty problem using Fuzzy & Neutrosophic Relational Maps 用模糊和中性关系图绘制印度性别比例失衡和贫困问题的原因和影响
Neutrosophic Sets and Systems Pub Date : 2016-05-01 DOI: 10.5281/ZENODO.50939
Gaurav, Kanika Bhutani, Megha Kumar, Swati Aggarwal
{"title":"Mapping Causes and Implications of India’s Skewed Sex Ratio and Poverty problem using Fuzzy & Neutrosophic Relational Maps","authors":"Gaurav, Kanika Bhutani, Megha Kumar, Swati Aggarwal","doi":"10.5281/ZENODO.50939","DOIUrl":"https://doi.org/10.5281/ZENODO.50939","url":null,"abstract":"This paper employs a new soft computing based methodology for identifying and analyzing the relationships among the causes and implications of the two challenging problems in India: unbalanced sex ratio and poverty.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"11 1","pages":"45-56"},"PeriodicalIF":0.0,"publicationDate":"2016-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71086170","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
An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables 基于区间中性不确定语言变量的多属性决策的扩展TOPSIS方法
Neutrosophic Sets and Systems Pub Date : 2015-08-01 DOI: 10.5281/ZENODO.49164
S. Broumi, Jun Ye, F. Smarandache
{"title":"An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables","authors":"S. Broumi, Jun Ye, F. Smarandache","doi":"10.5281/ZENODO.49164","DOIUrl":"https://doi.org/10.5281/ZENODO.49164","url":null,"abstract":"The interval neutrosophic uncertain linguistic variables can easily express the indeterminate and inconsistent information in real world, and TOPSIS is a very effective decision making method more and more extensive applications. In this paper, we will extend the TOPSIS method to deal with the interval neutrosophic uncertain linguistic information, and propose an extended TOPSIS method to solve the multiple attribute decision making problems in which the attribute value takes the form of the interval neutrosophic uncertain linguistic variables and attribute weight is unknown. Firstly, the operational rules and properties for the interval neutrosophic variables are introduced. Then the distance between two interval neutrosophic uncertain linguistic variables is proposed and the attribute weight is calculated by the maximizing deviation method, and the closeness coefficients to the ideal solution for each alternatives. Finally, an illustrative example is given to illustrate the decision making steps and the effectiveness of the proposed method.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"8 1","pages":"5"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71084785","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: 98
On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings 关于嗜中性正则超群和嗜中性超环
Neutrosophic Sets and Systems Pub Date : 2015-07-01 DOI: 10.5281/ZENODO.22610
A. Agboola, B. Davvaz
{"title":"On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings","authors":"A. Agboola, B. Davvaz","doi":"10.5281/ZENODO.22610","DOIUrl":"https://doi.org/10.5281/ZENODO.22610","url":null,"abstract":"A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H. The objective of this paper is to study canonical hyper- groups and hyperrings in which addition and multiplica- tion are hyperoperations in a neutrosophic environment. Some basic properties of neutrosophic canonical hyper- groups and neutrosophic hyperrings are presented. Quo- tient neutrosophic canonical hypergroups and neutro- sophic hyperrings are presented.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"21 1","pages":"7"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71048310","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: 19
Examples of Neutrosophic Probability in Physics 物理学中嗜中性概率的例子
Neutrosophic Sets and Systems Pub Date : 2015-07-01 DOI: 10.5281/ZENODO.22463
Fu Yuhua
{"title":"Examples of Neutrosophic Probability in Physics","authors":"Fu Yuhua","doi":"10.5281/ZENODO.22463","DOIUrl":"https://doi.org/10.5281/ZENODO.22463","url":null,"abstract":"This paper re-discusses the problems of the so-called “law of nonconservation of parity” and “accelerating expansion of the universe”, and presents the examples of determining Neutrosophic Probability of the experiment of Chien-Shiung Wu et al in 1957, and determining Neutrosophic Probability of accelerating expansion of the partial universe.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"7 1","pages":"32-33"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71048271","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: 3
Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers 基于余弦相似度测度的梯形模糊中性数多属性决策
Neutrosophic Sets and Systems Pub Date : 2015-07-01 DOI: 10.5281/ZENODO.22446
P. Biswas, Surapati Pramanik, B. Giri
{"title":"Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers","authors":"P. Biswas, Surapati Pramanik, B. Giri","doi":"10.5281/ZENODO.22446","DOIUrl":"https://doi.org/10.5281/ZENODO.22446","url":null,"abstract":"The objective of the study is to present cosine similarity measure based multi-attribute decision making under neutrosophic environment. The assesments of alternatives over the attributes are expressed with trapezoidal fuzzy neutrosophic numbers in which the three independent components namely, truth-membership degree (T), indeterminacy-membership degree (I) and falsity-membership degree (F) are expressed by trapezoidal fuzzy numbers. Cosine similarity measure between two trapezoidal fuzzy neutrosophic numbers and its properties are introduced. Expected value of trapezoidal fuzzy neutrosophic number is defined to determine the attribute weight. With these attribute weights, weighted cosine similarity measure between relative positive ideal alternative and each alternative is determined to find out the best alternative in multi-attribute decision-making problem. Finally, a numerical example is provided to illustrate the proposed approach","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"8 1","pages":"46-56"},"PeriodicalIF":0.0,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71048227","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: 133
Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology 几类中性脆近开集的基本结构及其在GIS拓扑中的应用
Neutrosophic Sets and Systems Pub Date : 2015-06-01 DOI: 10.5281/ZENODO.22438
A. A. Salama
{"title":"Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology","authors":"A. A. Salama","doi":"10.5281/ZENODO.22438","DOIUrl":"https://doi.org/10.5281/ZENODO.22438","url":null,"abstract":"Since the world is full of indeterminacy, the neutro- sophics found their place into contemporary research. The fun- damental concepts of neutrosophic set, introduced by Smarandache in (30, 31, 32) and Salama et al. in (4-29). In Geo- gra phical information systems (GIS) there is a need to model spatial regions with indeterminate boundary and under indeter- minacy. In this paper the structure of some classes of neutrosoph- ic crisp nearly open sets are investigated and some applications are given. Finally we generalize the crisp topological and intui- tioistic studies to the notion of neutrosophic crisp set. Possible applications to GIS topological rules are touched upon.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"7 1","pages":"18-22"},"PeriodicalIF":0.0,"publicationDate":"2015-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71048214","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: 44
Negating Four Color Theorem with Neutrosophy and Quad-stage Method 用中性哲学和四阶段法否定四色定理
Neutrosophic Sets and Systems Pub Date : 2015-04-01 DOI: 10.5281/ZENODO.22571
Fu Yuhua
{"title":"Negating Four Color Theorem with Neutrosophy and Quad-stage Method","authors":"Fu Yuhua","doi":"10.5281/ZENODO.22571","DOIUrl":"https://doi.org/10.5281/ZENODO.22571","url":null,"abstract":"With the help of Neutrosophy and Quad-stage Method, the proof for negation of “the four color theo-rem” is given. In which the key issue is to consider the color of the boundary, thus “the two color theorem” and “the five color theorem” are derived to replace \"the four color theorem\"","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"8 1","pages":"59-62"},"PeriodicalIF":0.0,"publicationDate":"2015-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71048452","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: 4
Expanding Uncertainty Principle to Certainty-Uncertainty Principles with Neutrosophy and Quad-stage Method 用中性哲学和四阶段法将不确定原理扩展到确定-不确定原理
Neutrosophic Sets and Systems Pub Date : 2015-03-25 DOI: 10.5281/ZENODO.22465
Fu Yuhua
{"title":"Expanding Uncertainty Principle to Certainty-Uncertainty Principles with Neutrosophy and Quad-stage Method","authors":"Fu Yuhua","doi":"10.5281/ZENODO.22465","DOIUrl":"https://doi.org/10.5281/ZENODO.22465","url":null,"abstract":"The most famous contribution of Heisenberg is uncertainty principle. But the original uncertainty princi- ple is improper. Considering all the possible situations (including the case that people can create laws) and ap- plying Neutrosophy and Quad-stage Method, this paper presents \"certainty-uncertainty principles\" with general form and variable dimension fractal form. According to the classification of Neutrosophy, \"certainty-uncertainty principles\" can be divided into three principles in differ- ent conditions: \"certainty principle\", namely a particle's position and momentum can be known simultaneously; \"uncertainty principle\", namely a particle's position and momentum cannot be known simultaneously; and neutral (fuzzy) \"indeterminacy principle\", namely whether or not a particle's position and momentum can be known simul- taneously is undetermined. The special cases of \"certain- ty-uncertainty principles\" include the original uncertainty principle and Ozawa inequality. In addition, in accord- ance with the original uncertainty principle, discussing high-speed particle's speed and track with Newton me- chanics is unreasonable; but according to \"certainty- uncertainty principles\", Newton mechanics can be used to discuss the problem of gravitational defection of a photon orbit around the Sun (it gives the same result of deflection angle as given by general relativity). Finally, for the reason that in physics the principles, laws and the like that are regardless of the principle (law) of conserva- tion of energy may be invalid; therefore \"certainty- uncertainty principles\" should be restricted (or con- strained) by principle (law) of conservation of energy, and thus it can satisfy the principle (law) of conservation of energy.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"8 1","pages":"10-13"},"PeriodicalIF":0.0,"publicationDate":"2015-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71048315","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
Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces 中性脆集与中性脆拓扑空间
Neutrosophic Sets and Systems Pub Date : 2014-11-01 DOI: 10.5281/ZENODO.30216
A. A. Salama, F. Smarandache, V. Kroumov
{"title":"Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces","authors":"A. A. Salama, F. Smarandache, V. Kroumov","doi":"10.5281/ZENODO.30216","DOIUrl":"https://doi.org/10.5281/ZENODO.30216","url":null,"abstract":"In this paper, we generalize the crisp topological spaces to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology. In addition to these, we introduce the definitions of neutrosophic crisp continuous function and neutrosophic crisp compact spaces. Finally, some characterizations concerning neutrosophic crisp compact spaces are presented and one obtains several properties. Possible application to GIS topology rules are touched upon.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"2 1","pages":"24-30"},"PeriodicalIF":0.0,"publicationDate":"2014-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71068036","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: 57
Neutrosophic Soft Multi-Set Theory and Its Decision Making 中性软多集理论及其决策
Neutrosophic Sets and Systems Pub Date : 2014-05-05 DOI: 10.5281/ZENODO.22601
I. Deli, S. Broumi, Mumtaz Ali
{"title":"Neutrosophic Soft Multi-Set Theory and Its Decision Making","authors":"I. Deli, S. Broumi, Mumtaz Ali","doi":"10.5281/ZENODO.22601","DOIUrl":"https://doi.org/10.5281/ZENODO.22601","url":null,"abstract":"In this study, we introduce the concept of neu- trosophic soft multi-set theory and study their properties and operations. Then, we give a decision making meth- ods for neutrosophic soft multi-set theory. Finally, an ap- plication of this method in decision making problems is presented.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"5 1","pages":"65-76"},"PeriodicalIF":0.0,"publicationDate":"2014-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71048642","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
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