Fuzzy Set Theory and Concepts: A Proposal for Concept Formation and Operationalization

2013 ◽  
Vol 12 (6) ◽  
pp. 785-820 ◽  
Author(s):  
Mario Quaranta
Keyword(s):  
Social Sciences ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Concept Formation ◽  
The Other ◽  
General Argument ◽  
Helpful Tool ◽  
Historical Specificity ◽  
Quality Debate

AbstractThe quantity-quality debate in social sciences also concerns concept formation and operationalization. The first approach has strong naturalist assumptions, while the second one focuses on the historical specificity of concepts. The solution to overcome this divide would be finding a path which balances the two perspectives. In this article we argue that fuzzy set theory can be a helpful tool for concept formation and operationalization. The application of fuzzy set theory to concept formation and operationalization provides, first, the opportunity of looking at concepts as complex constructs made up of attributes logically interconnected one with the other and, second, of measuring them accordingly. Thus, after presenting our general argument, we show a theoretical and an empirical application of how to use fuzzy sets in concept formation and operationalization.

Uncertainty Analysis in Quantitative Risk Assessment

1996 ◽  
Vol 118 (1) ◽  
pp. 121-124 ◽  
Author(s):  
S. Quin ◽  
G. E. O. Widera
Keyword(s):  
Risk Assessment ◽  
Uncertainty Analysis ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Failure Modes ◽  
The Other ◽  
Quantitative Risk Assessment ◽  
Engineering Practice ◽  
Criticality Analysis

Of the quantitative approaches applied to inservice inspection, failure modes, effects,criticality analysis (FMECA) methodology is recommended. FMECA can provide a straightforward illustration of how risk can be used to prioritize components for inspection (ASME, 1991). But, at present, it has two limitations. One is that it cannot be used in the situation where components have multiple failure modes. The other is that it cannot be used in the situation where the uncertainties in the data of components have nonuniform distributions. In engineering practice, these two situations exist in many cases. In this paper, two methods based on fuzzy set theory are presented to treat these problems. The methods proposed here can be considered as a supplement to FMECA, thus extending its range of applicability.

Fuzzy Set Theory Applied to Accounting Sciences

2020 ◽  
Vol 16 (01) ◽  
pp. 1-16
Author(s):  
Carmen Lozano ◽  
Enriqueta Mancilla-Rendón
Keyword(s):  
Social Sciences ◽  
Fuzzy Logic ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Hamming Distance ◽  
Great Acceptance ◽  
Classical Mathematics ◽  
Triangular Numbers ◽  
And Mathematics

Fuzzy set theory and fuzzy logic have been successfully developed in engineering and mathematics. However, these concepts have found great acceptance in social sciences in recent years since they provide an answer to those problems in the real world that cannot be modeled using classical mathematics. In this paper, we propose a new methodology for accounting science based on fuzzy triangular numbers. The methodology uses Hamming distance between fuzzy triangular numbers and arithmetic operations to evaluate corporate governance of multinational public stock corporations (PSCs) in the telecommunications sector.

Assessment of Conventional and Advanced Methodologies: Application of Configurational Approach and Fuzzy Set Theory in Emotional Labor Research

2020 ◽  
Vol 18 (2) ◽  
Author(s):  
Saman Javed ◽  
Noshaba Batool
Keyword(s):  
Social Sciences ◽  
Mathematical Models ◽  
Set Theory ◽  
Fuzzy Set ◽  
Emotional Labor ◽  
Fuzzy Set Theory ◽  
Behavioral Science ◽  
Well Being ◽  
Configurational Approach ◽  
Social And Behavioral Science

Application of configurational approach and fuzzy set theory on social and behavioral science variable models needs more attention. Few social science researches have employed configurational methods of research to empirically investigate a research question. On the front of exploring unique and innovative ways of investigation, this paper discusses the application of fuzzy set theory in social sciences. The study primarily takes a model of emotional labor and employee well‑being as a case example to depict how configurational models are developed. The study examines emotional labor and well‑being, not as predictor or criterion variables, but rather as conditions and outcome. The study also distinguishes between correlational and configurational method of research and adopts a descriptive approach by taking five research papers that examine social and behavioral science constructs from a configurational approach. Scarcity of literature in the crossover between the mathematical models and social sciences, particularly for the respective variables, call for a study that can clarify the initial queries surrounding fuzzy set models and pave the way for future empirical studies. The research concludes that utilizing mathematical models like fuzzy set theory, configuration and qualitative comparative analysis in social sciences can break monotony and bring newness in approaching as well as addressing a research query. This paper draws attention towards exploring new avenues in research methodologies. Application of newer methods would not only increase the rigor and precision of research findings but also assist in approaching a research area from multiple angles thereby enhancing the research quality.

Distributivity for 2-Uninorms Over Semi-Uninorms

2017 ◽  
Vol 25 (02) ◽  
pp. 317-345 ◽  
Author(s):  
Ya-Ming Wang ◽  
Feng Qin
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Unit Interval ◽  
The Other ◽  
Fuzzy Implications ◽  
Logical Connectives

This paper is mainly devoted to solving the distributivity equations for 2-uninorms over semi-uninorms. Our investigations are motivated by the couple of distributive logical connectives and their generalizations, such as t-norms, t-conorms, uninorms, nullnorms, and fuzzy implications, which are often used in fuzzy set theory. Recently, there are their two generalizations. One is a 2-uninorm covering both a uninorm and a nullnorm, which forms a class of commutative, associative and increasing operators on the unit interval with an absorbing element separating two subintervals having their own neutral elements. The other is a semi-uninorm, which generalizes a uninorm by omitting commutativity and associativity. In this work, all possible solutions of the distributivity equation for the three defined subclasses of 2-uninorms over semi-uninorms are characterized.

Intelligent reduction methods based upon fuzzy set theory as a helpful tool for controlling industrial plants

1992 ◽  
Vol 50 (2) ◽  
pp. 119-125 ◽  
Author(s):  
B. Cappelle ◽  
G. De Cooman ◽  
E.E. Kerre ◽  
F.R. Vanmassenhove
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Industrial Plants ◽  
Helpful Tool ◽  
Reduction Methods

scholarly journals Teoria zbiorów rozmytych – od nauk formalnych po nauki prawne. Wprowadzenie do problematyki w świetle osiągnięć polskiej lingwistyki prawa

Adeptus ◽  
2021 ◽  
Author(s):  
Anna Falana-Jafra
Keyword(s):  
Social Sciences ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Cognitive Linguistics ◽  
Research Question ◽  
The World ◽  
New Research ◽  
And Linguistics ◽  
Theory Of Fuzzy Sets

Fuzzy Set Theory – From Formal Sciences to Legal Sciences: An Introduction in the Light of the Achievements of Polish Legal LinguisticsAn example of the correlation of thought between the formal sciences, which are a foundation of the natural sciences, and the humanities is the fuzzy set theory. It is the source of a new research paradigm in relation to the surrounding reality, as well as in relation to man himself and his perception of the world. Nowadays, the fuzzy set theory is very widespread in cognitive linguistics. The aim of the article is to show the historical and substantive relations between the formal sciences and linguistics existing thanks to the theory of fuzzy sets, as well as to pose the question about the usefulness of this theory for Polish social sciences, which include legal sciences. The justification of the research question stems from the recognition of the fact that the constituted law manifests itself through language, which is its exclusive carrier. Teoria zbiorów rozmytych – od nauk formalnych po nauki prawne. Wprowadzenie do problematyki w świetle osiągnięć polskiej lingwistyki prawaPrzykładem korelacji myślowej zachodzącej pomiędzy naukami formalnymi, stanowiącymi podwalinę nauk przyrodniczych, a naukami humanistycznymi jest teoria zbiorów rozmytych. Stanowi ona źródło nowego paradygmatu badawczego względem otaczającej człowieka rzeczywistości, a także względem jego samego i jego postrzegania świata. Obecnie teoria zbiorów rozmytych jest bardzo rozpowszechniona na gruncie językoznawstwa kognitywnego. Celem artykułu jest ukazanie historycznych i merytorycznych związków pomiędzy naukami formalnymi a językoznawstwem, istniejących dzięki teorii rozmytości, a także  postawienie pytania o przydatność tej teorii dla polskich nauk społecznych, do których zaliczają się nauki prawne. Uzasadnienie pytania badawczego wynika z dostrzeżenia faktu, iż prawo stanowione przejawia się poprzez język, który jest jego wyłącznym nośnikiem.

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