Integral Inequalities for Vector (Multi)functions
AxiomsWe present some integral inequalities such as Minkowski-type and optimal bound-type for vector functions and vector multifunctions for different kinds of integrals: G-integral, Choquet-type integral, and Sugeno-type integral.
Cristina Stamate, Anca Croitoru
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System reliability and weighted lattice polynomials [PDF]
, 2008 The lifetime of a system of connected units under some natural assumptions can be represented as a random variable Y defined as a weighted lattice polynomial of random lifetimes of its components.
Alexander Dukhovny +3 more
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Enabling Explainable Fusion in Deep Learning with Fuzzy Integral Neural Networks
, 2019 Information fusion is an essential part of numerous engineering systems and biological functions, e.g., human cognition. Fusion occurs at many levels, ranging from the low-level combination of signals to the high-level aggregation of heterogeneous ...
Anderson, Derek T. +5 more
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On Sugeno integral as an aggregation function [PDF]
Fuzzy Sets and Systems, 2000 The author studies the Sugeno integral with respect to a discrete fuzzy measure \(\mu: 2^n\to [0,1]\) (i.e., a monotone function with \(\mu(\emptyset)= 0\) and \(\mu(\{1,\dots, n\})= 1\). Identifying a real-valued function on \(\{1,\dots, n\}\) with a vector \((x_1,\dots, x_n)\) the Sugeno integral is considered as aggregation function, i.e., a real ...
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Invariant functionals on completely distributive lattices
, 2009 In this paper we are interested in functionals defined on completely distributive lattices and which are invariant under mappings preserving {arbitrary} joins and meets.
Beliakov +20 more
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Dealing with Interaction Between Bipolar Multiple Criteria Preferences in PROMETHEE Methods [PDF]
, 2013 In this paper, we consider the bipolar approach to Multiple Criteria Decision Analysis (MCDA). In particular we aggregate positive and negative preferences by means of the bipolar PROMETHEE method.
Corrente, Salvatore +2 more
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Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra
Conference of International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology, 2015 Sugeno integral is one of the basic aggregation operations on a qualitative scale where only minimum and maximum, as well as order-reversing maps are allowed.
D. Dubois +3 more
semanticscholar +1 more source
A Sugeno integral representation under Stone condition
Fuzzy Sets and Systems, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chateauneuf, Alain, Rico, Agnès
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Contextual algorithm for decision of fuzzy estimation problems with network-like structure of criteria on the basis of fuzzy measures Sugeno [PDF]
In this article the algorithm for the decision of alternatives' estimation problems for following conditions is considered. Values of alternative's characteristics (properties) are fuzzy. They are formalized as fuzzy sets.
Bocharnikov, Victor, Sveshnikov, Sergey
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A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid [PDF]
The main advances regarding the use of the Choquet and Sugeno integrals in multi-criteria decision aid over the last decade are reviewed. They concern mainly a bipolar extension of both the Choquet integral and the Sugeno integral, interesting particular
Christophe Labreuche, Michel Grabisch
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