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Related papers: Bipolar Fuzzy Integrals

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This paper considers the linear objective function optimization with respect to a more general class of bipolar fuzzy relational equations, where the fuzzy compositions are defined by an arbitrary continuous Archimedean t-norm. In addition,…

Optimization and Control · Mathematics 2025-09-03 Amin Ghodousian , Mohammad Sedigh Chopannavaz , Witold Pedrycz

We study the behavior of multidegrees in families and the existence of numerical criteria to detect integral dependence. We show that mixed multiplicities of modules are upper semicontinuous functions when taking fibers and that projective…

Commutative Algebra · Mathematics 2024-05-14 Yairon Cid-Ruiz , Claudia Polini , Bernd Ulrich

Fuzzy structures such as fuzzy automata, fuzzy transition systems, weighted social networks and fuzzy interpretations in fuzzy description logics have been widely studied. For such structures, bisimulation is a natural notion for…

Data Structures and Algorithms · Computer Science 2023-06-02 Linh Anh Nguyen , Dat Xuan Tran

Polar active particles constitute a wide class of synthetic colloids that are able to propel along a preferential direction, given by their polar axis. Here, we demonstrate a generic self-phoretic mechanism that leads to their spontaneous…

Soft Condensed Matter · Physics 2021-10-27 Marco De Corato , Ignacio Pagonabarraga , Giovanniantonio Natale

We study the multi-channel Kondo model associated with an integrable higher-spin analogue of the anti-ferroelectric six-vertex model, which is constructed by inserting spin 1/2 to spin 1 lines: $... C^3 \otimes C^3 \otimes C^2 \otimes C^3…

solv-int · Physics 2009-10-31 N. Fukushima , T. Kojima

In this paper we define a type of generalized Riemann-Lebesgue (decomposition) integral for non-negative real functions with respect to two non-additive set functions. For this integral we present some classical properties.

Functional Analysis · Mathematics 2025-07-24 Anca Croitoru , Alina Iosif , Anna Rita Sambucini

In this paper we construct nonlinear partial differential equations in more than 3 independent variables, possessing a manifold of analytic solutions with high, but not full, dimensionality. For this reason we call them ``partially…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 A. I. Zenchuk , P. M. Santini

A general primal-dual splitting algorithm for solving systems of structured coupled monotone inclusions in Hilbert spaces is introduced and its asymptotic behavior is analyzed. Each inclusion in the primal system features compositions with…

Optimization and Control · Mathematics 2013-02-14 Patrick L. Combettes

This article deals with the complexity involved in fuzzy derivatives when both input and output are from nonempty, convex, and compact fuzzy space. Consider a fuzzy valued mapping, and for fuzzy differentiation of fuzzy valued function, we…

General Mathematics · Mathematics 2023-08-23 Purnima Pandit , Payal Singh

In this article, we introduce a method for learning a capacity underlying a Sugeno integral according to training data based on systems of fuzzy relational equations. To the training data, we associate two systems of equations: a…

Artificial Intelligence · Computer Science 2024-08-16 Ismaïl Baaj

Fuzzy answer set programming (FASP) combines two declarative frameworks, answer set programming and fuzzy logic, in order to model reasoning by default over imprecise information. Several connectives are available to combine different…

Artificial Intelligence · Computer Science 2020-02-19 Mario Alviano , Rafael Penaloza

Driving styles summarize different driving behaviors that reflect in the movements of the vehicles. These behaviors may indicate a tendency to perform riskier maneuvers, consume more fuel or energy, break traffic rules, or drive carefully.…

Robotics · Computer Science 2023-11-13 Iago Pachêco Gomes , Denis Fernando Wolf

We survey several non-absolutely convergent integrals, including the Henstock-Kurzweil and Pfeffer integrals, and use ideas from these theories to investigate the problem of multidimensional Young integration. We further present results on…

Functional Analysis · Mathematics 2026-03-03 Philippe Bouafia

Two seemingly different properties of 2-complexes were developed concurrently as criteria for the nonpositive immersion property: 'good stackings' and 'bislim structures'. We establish an equivalence between these properties by introducing…

Group Theory · Mathematics 2020-04-08 Jacob Bamberger , David Carrier , Jonah Gaster , Daniel Wise

This paper concentrates on the study of the decentralized fuzzy control method for a class of fractional-order interconnected systems with unknown control directions. To overcome the difficulties caused by the multiple unknown control…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Bingyun Liang , Shiqi Zheng , Choon Ki Ahn

This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of infinite dimensional Hilbert spaces. For this purpose, several inertial hybrid and shrinking projection algorithms are proposed…

Optimization and Control · Mathematics 2024-09-17 Zheng Zhou , Bing Tan , Songxiao Li

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled Neutrosophic Sets and Systems. New theories, techniques, algorithms have been rapidly…

Artificial Intelligence · Computer Science 2016-11-28 Florentin Smarandache , Surapati Pramanik

This article addresses the fuzzy logistic regression model under conditions of multicollinearity, which causes instability and inflated variance in parameter estimation. In this model, both the response variable and parameters are…

Applications · Statistics 2026-02-03 Ayad Habib Shemail , Ahmed Razzaq Al-Lami , Amal Hadi Rashid

With the widespread use of machine learning to support decision-making, it is increasingly important to verify and understand the reasons why a particular output is produced. Although post-training feature importance approaches assist this…

Combining symbolic and neural approaches has gained considerable attention in the AI community, as it is often argued that the strengths and weaknesses of these approaches are complementary. One such trend in the literature are weakly…

Artificial Intelligence · Computer Science 2020-06-08 Emile van Krieken , Erman Acar , Frank van Harmelen
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