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Intuitionistic fuzzy similarity measure: Theory and applications

Journal of Intelligent & Fuzzy Systems, 2015
First we give notion of integral of intuitionistic fuzzy set and introduce intuitionistic fuzzy implicator and intuitionistic fuzzy inclusion measure. Then we propose a new measure of similarity between two intuitionistic fuzzy sets based on intuitionistic fuzzy inclusion measure.
Ismat Beg, Tabasam Rashid
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Fuzzy approach to the theory of measurement inexactness

Measurement, 2003
Abstract In this paper we propose the t -norm based arithmetics to describe the propagation of both systematic and statistical inexactness. Evaluation of measurement inexactness occurs in three steps: (1) estimation of inexactness of single ‘pure’ measurement results, (2) propagation of inexactness due to statistical evaluation, (3) estimation of ...
Michał K. Urbanski, Janusz Wa̧sowski
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The role of fuzzy scales in measurement theory

Measurement, 2013
The introduction of the representational theory of measurement by Stevens initiated a new way to understand what measurement is and was followed by an intense scientific activity. Ludwik Finkelstein mainly contributed to this activity through several synthetic surveys and his formalisation of this theory includes a generalisation of the representation ...
Benoit, Eric, Foulloy, Laurent
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Duality and ordinality in fuzzy measure theory

Fuzzy Sets and Systems, 2003
For a finite fuzzy measure \(m\) (i.e., a non-decreasing set function defined on a sigma-algebra \({\mathcal A}\) of a universe \(X\) vanishing at the empty set), its dual \(m^{\text{d}}:{\mathcal A}\to[0,\infty[\;\) is given by \(m^{\text{d}}(A)=m (X)-m(A^c)\).
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Fuzzy Subset Theory in the Measurement of Poverty

Philippine Journal of Development, 1992
What has not been explored in the traditional measures of poverty is the extensive set of categorical variables that indicate standard of living and are already available from existing survey data. What precluded researchers from deriving poverty and welfare gauges from these data is the difficulty of incorporating these indicators in their measurement.
Bantilan, Maria Cynthia S.   +2 more
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Fuzzy intervals as a basis for measurement theory

NAFIPS/IFIS/NASA '94. Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intelligent Systems Conference, and the NASA Joint Technology Wo, 2002
We describe the problem of error estimation for indirect measurements, one of the main problems of measurement theory. We show why statistical approach is not always adequate, why interval and fuzzy approaches have their own problem, and propose a new paradigm: using fuzzy intervals as a basis for measurement theory. >
G.N. Solopchenko   +2 more
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A study of similarity measures through the paradigm of measurement theory: the fuzzy case

Soft Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Coletti, Giulianella   +1 more
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Inclusion Measures in Intuitionistic Fuzzy Set Theory

2003
Twenty years after their inception, intuitionistic fuzzy sets are on the rise towards making their “claim to fame”. Competing alongside various other, often closely related, formalisms, they are catering to the needs of a more demanding and rapidly expanding knowledge-based systems industry.
Chris Cornelis, Etienne E. Kerre
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Imperfect Pattern Recognition Using the Fuzzy Measure Theory

2009
This paper aims to provide a unified framework to deal with information imperfection and heterogeneity using possibility theory, in addition to information conflict and scarcity using Dempster-Shafer theory in order to classify imperfectly-described medical images. The proposed method is very robust and general.
Dahabiah, Anas   +2 more
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Generalization of the Dempster-Shafer theory: a fuzzy-valued measure

IEEE Transactions on Fuzzy Systems, 1999
The Dempster-Shafer theory (DST) may be considered as a generalization of the probability theory, which assigns mass values to the subsets of the referential set and suggests an interval-valued probability measure. There have been several attempts for fuzzy generalization of the DST by assigning mass (probability) values to the fuzzy subsets of the ...
Caro Lucas, Babak Nadjar Araabi
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