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International Journal of Applied Mathematics and Computer Science
EN Applying the generalised extension principle within the area of Computing with Words typically leads to complex maximisation problems. If distributed quantities--such as, e.g., size distributions within human populations--are considered, density functions representing these distributions become invo[...]
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Fundamenta Informaticae
EN This paper presents a new class of Petri nets called generalised fuzzy Petri nets. The new class extends the existing fuzzy Petri nets by introducing three operators in the form of triangular norms, which are supposed to function as substitute for the min, max and * (algebraic product) operators. To[...]
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Fundamenta Informaticae
EN A propositional logic PRL for rough sets was proposed in [1]. In this paper, we initially introduce the concepts of rough (upper, lower) truth degrees on the set of formulas in PRL. Then, by grading the rough equality relations, we propose the concepts of rough (upper, lower) similarity degree. Fina[...]
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Fundamenta Informaticae
EN We present a language for defining paraconsistent rough sets and reasoning about them. Our framework relates and brings together two major fields: rough sets [23] and paraconsistent logic programming [9]. To model inconsistent and incomplete information we use a four-valued logic. The language discu[...]
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Fundamenta Informaticae
EN This paper focuses on approximate reasoning based on the use of similarity spaces. Similarity spaces and the approximated relations induced by them are a generalization of the rough set-based approximations of Pawlak [17, 18]. Similarity spaces are used to define neighborhoods around individuals and[...]
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Foundations of Computing and Decision Sciences
EN The knowledge processed in empirical domains is more or less uncertain. In order to support people who deal with them, expert systems with uncertainty are used. The expert systems that serve for planning or simulation purposes are often implemented as rule-based systems. To express the uncertainty o[...]
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Fundamenta Informaticae
EN Time is one of the most important considerations in designing practical systems. The notion of time plays a vital role in performance evaluation of real-time systems. A new class of timed approximate Petri nets (TAP-nets) is proposed in the paper. This net model combines high-level Petri nets with t[...]
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Fundamenta Informaticae
EN Approximate Petri nets (AP-nets) can be used for the knowledge representation and approximate reasoning. The AP-net model is defined on the basis of the rough set approach, fuzzy Petri nets and coloured Petri nets. One of the main advantages of AP-net model is a possibility to present the reachabili[...]
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Fundamenta Informaticae
EN A propositional logic PRL for rough sets was proposed in [1]. In this paper, we initially introduce the concepts of rough (upper, lower) truth degrees on the set of formulas in PRL. Then, by grading the rough equality relations, we propose the concepts of rough (upper, lower) similarity degree. Fina[...]
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88%
Fundamenta Informaticae
EN This paper focuses on approximate reasoning based on the use of approximation spaces. Approximation spaces and the approximated relations induced by them are a generalization of the rough set-based approximations of Pawlak. Approximation spaces are used to define neighborhoods around individuals and[...]
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Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
2002 z. 26 [199] 191-204
PL Wnioskowanie przybliżone wykorzystywane jest m. in. przy projektowaniu systemów ekspertowych. Jednym z narzędzi do modelowania takiego wnioskowania są rozmyte sieci Petriego ([l], [2]). Celem referatu jest zaprezentowanie projektu i wstępnej implementacji systemu FPN dla rozmytych sieci Petriego. Sy[...]
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Fundamenta Informaticae
EN This paper considers the problem of how to establish calculi of approximation spaces. Approximation spaces considered in the context of rough sets were introduced by Zdzisaw Pawlak more than two decades ago. In general, a calculus of approximation spaces is a system for combining, describing, measur[...]
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Fundamenta Informaticae
EN In 1973 Lotfi Zadeh introduced the theory of fuzzy logic [17]. Fuzzy logic was an extension of Boolean logic so that it allowed using not only Boolean values to express reality. One kind of basic logical operations in fuzzy logic are so-called fuzzy implications. From over eight decades a number of [...]
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Studia Informatica
PL Biblioteka FUZZLIB to zbiór narzędzi pozwalających tworzyć i zarządzać rożnymi systemami rozmytymi za pomocą prostego w użyciu interfejsu. Szczególnie ułatwiono konfigurację i zarządzanie regułowej bazy wiedzy opartej na strukturach dynamicznych. Niniejszy artykuł opisuje zastosowane rozwiązania ora[...]
EN FUZZLIB library provide a set of tools that let to create and manage diverse fuzzy systems with an easy to use interface. Configuration and management of a rule base, based on dynamic structures, is especially simplified. Article describes developed solutions and program interface.
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Fundamenta Informaticae
EN Petri nets are one of well established tools in both theoretical analysis and practical modelling of concurrent systems as well as approximate reasoning. However, practical usage of Petri nets is limited by the lack of computer tools which would allow to handle large and complex nets in a comfortabl[...]
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International Journal of Applied Mathematics and Computer Science
EN Several important fuzzy implications and their properties are described on the basis of an axiomatic approach to the definition of the fuzzy implications. Then the idea of approximate reasoning using the generalized modus ponens and fuzzy implications is considered. The elimination of the non-inform[...]
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Studia Informatica
PL W artykule przedstawiono zastosowanie teorii zbiorów rozmytych oraz metod wnioskowania przybliżonego (na przykładzie modelu Mamdaniego) w procesie zadawania rozmytych (nieprecyzyjnych) pytań do bazy danych i generacji odpowiedzi na tak sformułowane pytania.
EN This article presents fuzzy sets theory and approximate reasoning and their applications in database. Database can include precise or imprecise data, and queries can be precise or imprecise too.
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Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
2002 z. 26 [199] 205-226
PL Odkrywanie wiedzy z dużych baz danych jest jednym z istotnych i aktualnych problemów badawczych. W referacie przedstawione zostaną pewne metody automatycznego odkrywania modeli współbieżnych zdanych eksperymentalnych ([4],[5-6]). Metody te oparte są na teorii zbiorów przybliżonych [l] i teorii sieci[...]
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Fundamenta Informaticae
EN Currently, there is a great deal of interest in developing tools for the generation and use of ontologies on the WWW. These knowledge structures are considered essential to the success of the semantic web, the next phase in the evolution of the WWW. Much recent work with ontologies assumes that the [...]
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