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22
Fuzzifying P Systems
, 2003
"... Uncertainty is an inherent property of all living systems. Curiously enough, computational models inspired by biological systems do not take, in general, under consideration this essential aspect of living systems. In this paper, after introducing the notion of a multifuzzy set (i.e., multisets ..."
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Uncertainty is an inherent property of all living systems. Curiously enough, computational models inspired by biological systems do not take, in general, under consideration this essential aspect of living systems. In this paper, after introducing the notion of a multifuzzy set (i.e., multisets where objects are repeated to some degree), we introduce two variants of P systems with fuzzy components: P systems with fuzzy data and P systems with fuzzy multiset rewriting rules. By silently assuming that fuzzy data are not the result of some fuzzification process, P systems with fuzzy data are shown to be a step towards real hypercomputation.
Similarity Between Multivalued Thesaurus Attributes: Theory and Application in Multimedia Systems
 in Proceedings of the 16th International Conference on Database and Expert Systems
, 2006
"... Abstract. In this paper, the theoretical aspects of calculating the similarity between sets, and its generalizations multisets, fuzzy sets and fuzzy multisets, is presented. Afterwards, this theory is applied to enhance the facilities for accessing a multimedia system, namely when searching for corr ..."
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Abstract. In this paper, the theoretical aspects of calculating the similarity between sets, and its generalizations multisets, fuzzy sets and fuzzy multisets, is presented. Afterwards, this theory is applied to enhance the facilities for accessing a multimedia system, namely when searching for correspondence between multivalued attributes, which are coupled with a thesaurus. Furthermore, to allow flexibility in this search, thesauri with similarities defined between the thesaurus terms are considered. As a possible application, the DEKKMMA project is introduced, a project about an audio archive of African music. 1
FCUBE FACTORY: A FUZZY OLAP SYSTEM FOR SUPPORTING IMPRECISION
 INTERNATIONAL JOURNAL OF UNCERTAINTY, FUZZINESS AND KNOWLEDGEBASED SYSTEMS
"... The special needs of the OLAP technology was the main cause of the use of a multidimensional view of the data. To model complex or nor well defined domains or to integrate data from semi/nonstructured sources (e.g. Internet) or with incompatibilities in their schemata is complicated using crisp mul ..."
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The special needs of the OLAP technology was the main cause of the use of a multidimensional view of the data. To model complex or nor well defined domains or to integrate data from semi/nonstructured sources (e.g. Internet) or with incompatibilities in their schemata is complicated using crisp multidimensional models. In these situations we need a model able to manage imprecision in the structures and data as a result of the modelling and/or integration. If we want to use expert’s knowledge in the analysis, we have to keep in mind that expert users are more comfortable when they use linguistic expressions instead of exact values. In this paper we present an extension of a fuzzy multidimensional model to support the use of linguistic labels in the definition of the
Fuzzy Chemical Abstract Machines
, 2009
"... Fuzzy set theory opens new vistas in computability theory and here I show this by defining a new computational metaphor—the fuzzy chemical metaphor. This metaphor is an extension of the chemical metaphor. In particular, I introduce the idea of a state of a system as a solution of fuzzy molecules, th ..."
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Fuzzy set theory opens new vistas in computability theory and here I show this by defining a new computational metaphor—the fuzzy chemical metaphor. This metaphor is an extension of the chemical metaphor. In particular, I introduce the idea of a state of a system as a solution of fuzzy molecules, that is molecules that are not just different but rather similar, that react according to a set of fuzzy reaction rules. These notions become precise by introducing fuzzy labeled transition systems. Solutions of fuzzy molecules and fuzzy reaction rules are used to define the general notion of a fuzzy chemical abstract machine, which is a realization of the fuzzy chemical metaphor. Based on the idea that these machines can be used to describe the operational semantics of process calculi and algebras that include fuzziness as a fundamental property, I present a toy calculus that is a fuzzy equivalent of the πcalculus. 1
Preface
, 2000
"... in a series devoted to explicitlyand coherentlydeveloping the FMT, the “Formal Multiset Theory”, following the experience and the model of FLT, the Formal Language Theory. It starts from two observations: (1) multisets appear “everywhere ” (this is also proved bya series of papers in the present vol ..."
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in a series devoted to explicitlyand coherentlydeveloping the FMT, the “Formal Multiset Theory”, following the experience and the model of FLT, the Formal Language Theory. It starts from two observations: (1) multisets appear “everywhere ” (this is also proved bya series of papers in the present volume), and (2) Membrane Computing is a sort of distributed multiset rewriting framework, without having equallywell developed the nondistributed multiset rewriting (whatever “rewriting ” means when dealing with multisets). This is in contrast with what happened in formal language theory, where the grammar system branch has appeared manyyears after extensivelydealing with single grammars and single automata. As an immediate scope, the workshop is intended to gather together people interested in multiset processing (from a mathematical or a computer science point of view) and in membrane computing (P systems), grounding the development of the latter on the “theory” of the former (although this theorylooks rather scattered in this moment, spread in many papers, without anysystematic/monographic presentation). Taking seriouslythe etymology, the workshop will mean not onlypresentations, but also
Symposium Presentation Decision analysis under uncertainty for elearning environment
"... Abstract: In this paper, we discuss the notions of fuzzy sets and fuzzy ICBags as well as propose a soft decision analysis methodology for analysing student performance measures and investigate its applicability within the framework of elearning where, in the absence of facetoface interaction, of ..."
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Abstract: In this paper, we discuss the notions of fuzzy sets and fuzzy ICBags as well as propose a soft decision analysis methodology for analysing student performance measures and investigate its applicability within the framework of elearning where, in the absence of facetoface interaction, often it is necessary to rely considerably on the frequencies and characteristics of interactions of the learners with a predefined set of learning objects included in the process.
Fuzzy Shadows
 International Journal for Fuzzy Sets and Systems
, 1999
"... In the present paper the author reviews the notion of fuzzy shadows, defines the cardinality and restricted cardinality of fuzzy shadows, and indicates the tacit knowledge representation situation where these notions can be found to be suitable for modelling the associated complexity. 1 ..."
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In the present paper the author reviews the notion of fuzzy shadows, defines the cardinality and restricted cardinality of fuzzy shadows, and indicates the tacit knowledge representation situation where these notions can be found to be suitable for modelling the associated complexity. 1
Mathematics of Multisets Apostolos Syropoulos
 In Multiset Processing
, 2001
"... This paper is an attempt to summarize most things that are related to multiset theory. We begin by describing multisets and the operations between them. Then we present hybrid sets and their operations. We continue with a categorical approach to multisets. Next, we present fuzzy multisets and their ..."
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This paper is an attempt to summarize most things that are related to multiset theory. We begin by describing multisets and the operations between them. Then we present hybrid sets and their operations. We continue with a categorical approach to multisets. Next, we present fuzzy multisets and their operations. Finally, we present partially ordered multisets. 1
Multiple Criteria Ranking Enterprises Based on Inconsistent Estimations 1
"... Abstract: The paper considers a technique for ordering objects that are described with many quantitative and/or qualitative attributes and may exist in several copies. Such multiattribute objects may be represented as multisets or sets with repeating elements. Object ordering is based on the theory ..."
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Abstract: The paper considers a technique for ordering objects that are described with many quantitative and/or qualitative attributes and may exist in several copies. Such multiattribute objects may be represented as multisets or sets with repeating elements. Object ordering is based on the theory of multiset metric spaces and applied to ranking enterprises, which are estimated differently by several decision makers/experts under multiple criteria. 1