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Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
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TLDR
Introduction.Abstract:
Introduction. Required Background in Set Theory. Fuzzy Measures. Extensions. Structural Characteristics for Set Functions. Measurable Functions on Fuzzy Measure Spaces. Fuzzy Integrals. PanIntegrals. Applications. Index.read more
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Proceedings ArticleDOI
Mean Values of Fuzzy Numbers with Evaluation Measures and the Measurement of Fuzziness
TL;DR: An evaluation method of fuzzy numbers as mean values and measurement of fuzziness defined by fuzzy measures is presented, and the presented method is also applicable to fuzzy random variables and fuzzy stochastic processes in decision making modeling.
Journal ArticleDOI
Unbalanced interval-valued OWA operators
TL;DR: This work introduces a new class of functions defined on the interval-valued setting that extend classical OWA operators but allow for different weighting vectors to handle the lower bounds and the upper bounds of the considered intervals.
Proceedings ArticleDOI
Fuzzy Profile Hidden Markov Models for Protein Sequence Analysis
TL;DR: A fuzzy profile hidden Markov model is proposed to overcome the limitations of the statistical independence assumption of probability theory and was built and tested on widely studied globin and kinase family sequences and its performance was compared with classical HMM.
Journal ArticleDOI
Pseudo-convergences of sequences of measurable functions on monotone multimeasure spaces
Anca Precupanu,Alina Gavriluţ +1 more
TL;DR: In this paper, different types of pseudo-convergences of se- quences of measurable functions with respect to set-valued non-additive monotonic set functions are studied.
Journal ArticleDOI
A new necessary and sufficient condition for the Egoroff theorem in non-additive measure theory
TL;DR: It is shown that a newly defined condition, called condition (M), is a necessary and sufficient condition for the Egoroff theorem in non-additive measure theory.