Results 31 to 40 of about 13,635 (297)

Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices [PDF]

open access: yes, 2009
We give several characterizations of discrete Sugeno integrals over bounded distributive lattices, as particular cases of lattice polynomial functions, that is, functions which can be represented in the language of bounded lattices using variables and ...
Couceiro, Miguel, Marichal, Jean-Luc
core   +3 more sources

Logical Twofold Integral [PDF]

open access: yesEngineering and Technology Journal, 2010
The aim of this paper is to present a new framework for studying capacities andtwofold integral from a point of view of two-valued logic. In this framework, wepropose equivalent definitions of capacities and twofold integral that may be moreeasily ...
Jabbar Abbas Ghafil
doaj   +1 more source

On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations

open access: yesInternational Journal of Differential Equations, 2016
We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara ...
ElHassan ElJaoui, Said Melliani
doaj   +1 more source

Applying the Upper Integral to the Biometric Score Fusion Problem in the Identification Model

open access: yesInformation, 2015
This paper presents a new biometric score fusion approach in an identification system using the upper integral with respect to Sugeno’s fuzzy measure.
Khalid Fakhar   +3 more
doaj   +1 more source

Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space $(X,\Sigma)$. Some examples are given to illustrate the validity of main results.
Bayaz Daraby
doaj   +1 more source

Q-Fuzzy Probability Integration on Triangular Modulus and Its Application Model

open access: yesJournal of Harbin University of Science and Technology, 2023
For the newly designed pair of q-Fuzzy sum operators and q-Fuzzy product operators, it is proved that they meet the conditions of T triangular modulus and S triangular modulus, and then a k-fuzzy measure is defined, and q-Fuzzy and probability integral ...
WANG Yue, ZHAO Hui, WU Lunhua
doaj   +1 more source

Axiomatizations of quasi-polynomial functions on bounded chains [PDF]

open access: yes, 2009
Two emergent properties in aggregation theory are investigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defined by means of certain functional equations.
Couceiro, Miguel, Marichal, Jean-Luc
core   +5 more sources

Some New Properties of Convex Fuzzy-Number-Valued Mappings on Coordinates Using Up and Down Fuzzy Relations and Related Inequalities

open access: yesMathematics, 2023
The symmetric function class interacts heavily with other types of functions. One of these is the convex function class, which is strongly related to symmetry theory.
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Decomposition approaches to integration without a measure [PDF]

open access: yes, 2015
Extending the idea of Even and Lehrer [3], we discuss a general approach to integration based on a given decomposition system equipped with a weighting function, and a decomposition of the integrated function.
Greco, Salvatore   +3 more
core   +2 more sources

Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices

open access: yes, 2017
Two new generalizations of the relation of comonotonicity of lattice-valued vectors are introduced and discussed. These new relations coincide on distributive lattices and they share several properties with the comonotonicity for the real-valued vectors (
Halaš, Radomír   +2 more
core   +1 more source

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