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Fuzzy Sets and Systems, ISSN 0165-0114, 01/2015, Volume 259, pp. 3 - 11
This study introduces and discusses a new class of integrals based on superdecompositions of integrated functions, including an analysis of their relationship... 
Superdecomposition integral | Monotone measure | Convex integral | Choquet integral | Decomposition integral | CHOQUET | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | CONCAVE INTEGRALS
Journal Article
Journal Article
International Journal of Approximate Reasoning, ISSN 0888-613X, 10/2013, Volume 54, Issue 8, pp. 1252 - 1259
Decomposition integrals recently proposed by Even and Lehrer are deeply studied and discussed. Characterization of integrals recognizing and distinguishing the... 
Shilkret integral | Monotone measure | Choquet integral | Lehrer integral | Universal integral | MULTICRITERIA DECISION-MAKING | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 01/2019, Volume 355, pp. 106 - 109
Recently, Choquet-like Copula-based aggregation functions were introduced and discussed by Lucca et al. Afterwards, CMin-integral (i.e., a Choquet-like... 
Aggregation functions | Ordered Modular Averages | Copula | Choquet integral | Sugeno integral | CHOQUET | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | ADDITIVITY | CLASSIFICATION SYSTEMS
Journal Article
International Journal of Intelligent Systems, ISSN 0884-8173, 05/2019, Volume 34, Issue 5, pp. 733 - 753
Journal Article
International Journal of General Systems, ISSN 0308-1079, 08/2018, Volume 47, Issue 6, pp. 569 - 592
In this paper, it is proven that the natural extensions of a submodular coherent upper conditional probability, defined a class S properly contained in the... 
Hausdorff outer measure | Coherent upper conditional prevision | Choquet integral | pan-integral | concave integral | COMPUTER SCIENCE, THEORY & METHODS | PROBABILITIES | Conditional probability | Random variables | Representations | Integrals | Coherence
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 04/2008, Volume 186, Issue 2, pp. 766 - 785
Journal Article
Expert Systems With Applications, ISSN 0957-4174, 2010, Volume 37, Issue 1, pp. 149 - 157
For the real decision making problems, most criteria have inter-dependent or interactive characteristics so that it is not suitable for us to aggregate them by... 
Intuitionistic fuzzy sets | Fuzzy measures | Choquet integral | Multi-criteria decision making | Interaction | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SETS | AGGREGATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | TOOL | ENGINEERING, ELECTRICAL & ELECTRONIC | Decision-making | Algorithms
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 01/2016, Volume 248, Issue 1, pp. 183 - 191
•We define IVIHFCI operator to model interaction phenomena among criteria in MCGDM.•Hamming distance measure is defined for the elements of IVIHFS.•An IVIHFCI... 
Interval-valued intuitionistic hesitant fuzzy sets | Choquet integral | Decision making | TOPSIS | Distance measure | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SETS | EXTENSION | PREFERENCE | AGGREGATION | Fuzzy logic | Multiple criteria decision making | Employee development | Analysis | Fuzzy algorithms | Methods | Fuzzy systems
Journal Article
Information Sciences, ISSN 0020-0255, 11/2017, Volume 415-416, pp. 429 - 445
Sugeno integrals are aggregation operations involving a criterion weighting scheme based on the use of set functions called capacities or fuzzy measures. In... 
Sugeno integrals | Conjunctions | Implications | CHOQUET | CONJOINT-MEASUREMENT | COMPUTER SCIENCE, INFORMATION SYSTEMS | FUZZY INTEGRALS | DECISION RULES | Logic in Computer Science | Machine Learning | Artificial Intelligence | Computation and Language | Computer Science
Journal Article
Information Sciences, ISSN 0020-0255, 2010, Volume 180, Issue 5, pp. 726 - 736
The Choquet integral is a very useful way of measuring the expected utility of an uncertain event [G. Choquet, Theory of capacities, Annales de l’institut... 
Interval-valued intuitionistic fuzzy set | Intuitionistic fuzzy set | Correlation | Interval-valued intuitionistic fuzzy aggregation operator | Choquet integral | Intuitionistic fuzzy aggregation operator | COMPUTER SCIENCE, INFORMATION SYSTEMS | AGGREGATION OPERATORS
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 07/2019, Volume 367, pp. 107 - 117
The Kullback–Leibler divergence is a very important concept in statistics and probability which helps us in many problems of information systems. The main... 
Non-additive measures | Kullback–Leibler divergence | f-divergence | Choquet integral | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | Kullback-Leibler divergence | COMPUTER SCIENCE, THEORY & METHODS
Journal Article
by Gal, SG
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, ISSN 0897-3962, 2019, Volume 31, Issue 2, pp. 183 - 194
In this paper we study the classical Fred-holm integral equation of second kind, in which the Lebesgue type integral is replaced by the more general Choquet... 
MATHEMATICS | MATHEMATICS, APPLIED | successive approximations | Choquet integral | distorted Lebesgue measures | submodular and continuous from below set function | Fredholm integral equation of second kind | monotone | Choquet L-p-space | fixed point theorem
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 06/2013, Volume 220, pp. 1 - 20
The choice of a bipolar scale in decision making relates to an ideal situation where positive and negative evaluations reflect a decision maker's choice on a... 
Bi-capacity | Choquet integral | m-Polar aggregation operator | Aggregation operator | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | AMBIGUITY | COMPUTER SCIENCE, THEORY & METHODS | Bipolar disorder | Analysis
Journal Article
Information Sciences, ISSN 0020-0255, 01/2017, Volume 376, pp. 136 - 147
•A new class of integral that corresponds to a nonadditive measure.•The new integral is defined using an interaction operator.•Several mathematical properties... 
Monotone measure | Nonadditive measure | Möbius transform | Interaction operator | Inclusion-exclusion integral | CHOQUET | Mobius transform | RESPECT | COMPUTER SCIENCE, INFORMATION SYSTEMS | FUZZY MEASURES | Integrals | Data processing
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 01/2019, Volume 355, pp. 59 - 66
We show that a new integral, recently introduced by Lehrer and Teper (2008) [11], provides all the tools to determine the necessary and sufficient conditions... 
Lehrer–Teper integral | Set functions | Choquet integral | Bondareva theorem | Sandwich theorem | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Lehrer-Teper integral
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 12/2013, Volume 232, pp. 18 - 38
In decision analysis, and especially in multiple criteria decision analysis, several non additive integrals have been introduced in the last years. These... 
Shilkret and Sugeno integrals | Interval-evaluations | Choquet | Interval-capacity | BI-CAPACITIES | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Decision-making | Analysis | Collapse | Additives | Aggregates | Integrals | Fuzzy set theory | Agglomeration | Criteria | Decision analysis
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 11/2017, Volume 327, pp. 48 - 68
We present two concrete methods for the computation of the Choquet integral of a positive measurable function. Both methods are based upon the truncation and... 
Measurable function | Monotone measure | Semimetric space | Choquet integral | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | Computer science
Journal Article
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