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The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

Many mathematical models utilize limit processes. Continuous functions and the calculus, differential equations and topology, all are based on limits and continuity. However, when we perform measurements and computations, we can achieve…

Artificial Intelligence · Computer Science 2025-10-20 Mark Burgin

Within the framework proposed in this paper, we address the issue of extending the certain networks to a fuzzy certain networks in order to cope with a vagueness and limitations of existing models for decision under imprecise and uncertain…

Artificial Intelligence · Computer Science 2012-06-06 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

In this paper we present a propositional logic programming language for reasoning under possibilistic uncertainty and representing vague knowledge. Formulas are represented by pairs (A, c), where A is a many-valued proposition and c is…

Artificial Intelligence · Computer Science 2013-01-18 Teresa Alsinet , Lluis Godo

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

In this paper, we are trying to examine trade offs between fuzzy logic and certain Bayesian networks and we propose to combine their respective advantages into fuzzy certain Bayesian networks (FCBN), a certain Bayesian networks of fuzzy…

Artificial Intelligence · Computer Science 2012-06-07 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

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

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski

Rule mining algorithms are one of the fundamental techniques in data mining for disclosing significant patterns in terms of linguistic rules expressed in natural language. In this paper, we revisit the concept of fuzzy implicative rule to…

Logic in Computer Science · Computer Science 2025-10-07 Raquel Fernandez-Peralta

The Fuzzy Modeling has been applied in a wide variety of fields such as Engineering and Management Sciences and Social Sciences to solve a number Decision Making Problems which involve impreciseness, uncertainty and vagueness in data. In…

Artificial Intelligence · Computer Science 2013-04-29 Arindam Chaudhuri , Kajal De , Dipak Chatterjee

We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random…

Artificial Intelligence · Computer Science 2024-05-08 Thierry Denoeux

This paper focuses on designing expert systems to support decision making in complex, uncertain environments. In this context, our research indicates that strictly probabilistic representations, which enable the use of decision-theoretic…

Artificial Intelligence · Computer Science 2013-04-15 Samuel Holtzman , John S. Breese

Fuzziness and randomicity widespread exist in natural science, engineering, technology and social science. The purpose of this paper is to present a new logic - uncertain propositional logic which can deal with both fuzziness by taking…

Logic · Mathematics 2015-06-11 Maokang Luo , Wei He

Approaches based on computing with words find good applicability in decision making systems. Predominantly finding their basis in type-1 fuzzy sets, computing with words approaches employ type-1 fuzzy sets as semantics of the linguistic…

Artificial Intelligence · Computer Science 2020-02-28 Taniya Seth , Pranab K. Muhuri

In the subjective Bayesian approach uncertainty is described by a prior distribution chosen by the statistician. Fuzzy set theory is another way of representing uncertainty. Here we give a decision theoretic approach which allows a Bayesian…

Statistics Theory · Mathematics 2008-12-18 Glen Meeden

Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aware multi-criteria decision-making (MCDM) and organizes the…

Artificial Intelligence · Computer Science 2026-03-23 Takaaki Fujita , Florentin Smarandache

In recent years, there has been an increased need for the use of active systems - systems required to act automatically based on events, or changes in the environment. Such systems span many areas, from active databases to applications that…

Artificial Intelligence · Computer Science 2012-07-09 Segev Wasserkrug , Avigdor Gal , Opher Etzion

This paper develops a category-theoretic approach to uncertainty, informativeness and decision-making problems. It is based on appropriate first order fuzzy logic in which not only logical connectives but also quantifiers have fuzzy…

General Mathematics · Mathematics 2007-05-23 P. V. Golubtsov , S. S. Moskaliuk

Risk specialists are trying to understand risk better and use complex models for risk assessment, while many risks are not yet well understood. The lack of empirical data and complex causal and outcome relationships make it difficult to…

Artificial Intelligence · Computer Science 2020-09-22 Hengameh Fakhravar
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