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How can non-classical logic contribute to the analysis of complexity in computer science? In this paper, we give a step towards this question, taking a logical model-theoretic approach to the analysis of complexity in fuzzy constraint…

Logic · Mathematics 2019-11-18 Pilar Dellunde , Amanda Vidal

Description Logics (DLs) are appropriate, widely used, logics for managing structured knowledge. They allow reasoning about individuals and concepts, i.e. set of individuals with common properties. Typically, DLs are limited to dealing with…

Artificial Intelligence · Computer Science 2016-11-17 Haibin Wang , Andre Rogatko , Florentin Smarandache , Rajshekhar Sunderraman

In fuzzy propositional logic, to a proposition a partial truth in [0,1] is assigned. It is well known that under certain circumstances, fuzzy logic collapses to classical logic. In this paper, we will show that under dual conditions, fuzzy…

Artificial Intelligence · Computer Science 2007-05-23 Umberto Straccia

The optimization on the structure of process of information management under uncertain environment has attracted lots of attention from researchers around the world. Nevertheless, how to obtain accurate and rational evaluation from…

Artificial Intelligence · Computer Science 2024-12-30 Yuanpeng He

In a recent paper as an alternative to models based on the notion of ideal mathematical point, characterized by a property of separatedness, we considered a viewpoint based on the notion of continuous change, making use of elements of a…

Neurons and Cognition · Quantitative Biology 2024-12-16 Bartosz Jura

In this paper, a new interval type-2 fuzzy neural network able to construct non-separable fuzzy rules with adaptive shapes is introduced. To reflect the uncertainty, the shape of fuzzy sets considered to be uncertain. Therefore, a new form…

Machine Learning · Computer Science 2021-12-22 Armin Salimi-Badr

Evaluating argument strength in quantitative argumentation systems has received increasing attention in the field of abstract argumentation. The concept of acceptability degree is widely adopted in gradual semantics, however, it may not be…

Artificial Intelligence · Computer Science 2023-08-21 Zongshun Wang , Yuping Shen

We use princiles of fuzzy logic to develop a general model representing several processes in a system's operation characterized by a degree of vagueness and/or uncertainy. Further, we introduce three altenative measures of a fuzzy system's…

Artificial Intelligence · Computer Science 2012-12-12 Michael Gr. Voskoglou

The aim of this research is to develop a reasoning under uncertainty strategy in the context of the Fuzzy Inductive Reasoning (FIR) methodology. FIR emerged from the General Systems Problem Solving developed by G. Klir. It is a data driven…

Artificial Intelligence · Computer Science 2012-12-12 Francisco Mugica , Angela Nebot , Pilar Gomez

Traditional finite element method is a well-established method to solve various problems of science and engineering. Different authors have used various methods to solve governing differential equation of heat conduction problem. In this…

General Physics · Physics 2012-10-01 Sarangam Majumdar , Sukanta Nayak , S. Chakraverty

Conceptual formalism supported by typical ontologies may not be sufficient to represent uncertainty information which is caused due to the lack of clear cut boundaries between concepts of a domain. Fuzzy ontologies are proposed to offer a…

Artificial Intelligence · Computer Science 2018-05-08 Zahra Riahi Samani , Mehrnoush Shamsfard

We explore a fuzzy modal logic that can formalise probabilistic reasoning about actions and knowledge. In particular, we deal with contexts involving statements about events expressed via modal formulas, e.g., "after doing $a$, the…

Logic in Computer Science · Computer Science 2026-04-27 Daniil Kozhemiachenko , Igor Sedlár

Description Logics (DLs) are suitable, well-known, logics for managing structured knowledge. They allow reasoning about individuals and well defined concepts, i.e., set of individuals with common properties. The experience in using DLs in…

Artificial Intelligence · Computer Science 2011-06-06 U. Straccia

Inconsistency in prediction problems occurs when instances that relate in a certain way on condition attributes, do not follow the same relation on the decision attribute. For example, in ordinal classification with monotonicity…

Artificial Intelligence · Computer Science 2021-11-29 Marko Palangetić , Chris Cornelis , Salvatore Greco , Roman Słowiński

Generally any real-world problem is not always solvable, because in that not only a percentage of uncertainty is present, but also, a certain percentage of indeterminacy is present. The presence of uncertainty has been analyzed using fuzzy…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache , K. Ilanthenral

Combinatorics studies how discrete objects can be counted, arranged, and combined under specified rules. Motivated by uncertainty in real-world data and decisions, modern set-theoretic formalisms such as fuzzy sets, neutrosophic sets, rough…

Artificial Intelligence · Computer Science 2026-02-24 Takaaki Fujita , Florentin Smarandache

Especially in research areas of computer science such as data mining, image segmentation, clustering image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that…

Discrete Mathematics · Computer Science 2014-05-26 Hossein Rashmanlou , Madhumangal Pal

It has been widely recognized that uncertainty is an inevitable aspect of diagnosis and treatment of medical disorders. Such uncertainties hence, need to be considered in computerized medical models. The existing medical modeling techniques…

Artificial Intelligence · Computer Science 2020-10-23 Davoud Mougouei , David Powers

A key problem in the application of first-order probabilistic methods is the enormous size of graphical models they imply. The size results from the possible worlds that can be generated by a domain of objects and relations. One of the…

Artificial Intelligence · Computer Science 2015-04-22 Daniel Nyga , Michael Beetz

We introduce two-dimensional logics based on \L{}ukasiewicz and G\"{o}del logics to formalize paraconsistent fuzzy reasoning. The logics are interpreted on matrices, where the common underlying structure is the bi-lattice (twisted) product…

Logic · Mathematics 2022-05-31 Marta Bílková , Sabine Frittella , Daniil Kozhemiachenko
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