On the equiponderate equation  and a representation of weight quadruplets.

De Baets, Bernard; de Meyer, Hans

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Displaying similar documents to “On the equiponderate equation $x^{a} + x^{b} + x = x^{c} + x^{d} + 1$ and a representation of weight quadruplets.”

Fuzzy weighted average as a fuzzified aggregation operator and its properties

Ondřej Pavlačka, Martina Pavlačková, Vladislav Hetfleiš (2017)

Kybernetika

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The weighted average is a well-known aggregation operator that is widely applied in various mathematical models. It possesses some important properties defined for aggregation operators, like monotonicity, continuity, idempotency, etc., that play an important role in practical applications. In the paper, we reveal whether and in which way such properties can be observed also for the fuzzy weighted average operator where the weights as well as the weighted values are expressed by noninteractive...

Rule weights in a neuro-fuzzy system with a hierarchical domain partition

Krzysztof Simiński (2010)

International Journal of Applied Mathematics and Computer Science

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The paper discusses the problem of rule weight tuning in neuro-fuzzy systems with parameterized consequences in which rule weights and the activation of the rules are not interchangeable. Some heuristic methods of rule weight computation in neuro-fuzzy systems with a hierarchical input domain partition and parameterized consequences are proposed. Several heuristics with experimental results showing the advantage of their usage are presented.

An heuristic approach for mapping landslide hazard integrating fuzzy logic with analytic hierarchy process

Pece Gorsevski, Piotr Jankowski, Paul Gessler (2006)

Control and Cybernetics

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Missile System Selection Based on the Fuzzy Sets Theory

Dragan Z. Šaletić, Dušan M. Velašević (2000)

The Yugoslav Journal of Operations Research

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Fuzzy Approach to Business Improvement of Holding Equipment in the Conditions of Decreased Production Range

Branko Tadić, Danijela Tadić, Nenad Marjanović (2007)

The Yugoslav Journal of Operations Research

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A Linguistic Fuzzy Approach to the Consensus Reaching in Multiple Criteria Group Decision-making Problems

Vojtěch Sukač, Jana Talašová, Jan Stoklasa (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The paper introduces a new method of reaching a consensus in multiple criteria group decision-making under fuzziness. This model is based on the general definition of the ‘soft’ consensus introduced by Kacprzyk and Fedrizzi in 1986. The fuzzy evaluations of alternatives express degrees of fulfillment of the given goals by the respective alternatives for each expert. The selection of the best alternative is based on the fuzzy consensus by experts. For this purpose a set of alternatives...

Denotational semantics of languages with fuzzy data.

Daniel Sánchez Alvarez, Antonio F. Gómez Skarmeta (2000)

Mathware and Soft Computing

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The denotational semantics of a programming language which manages fuzzy data is presented. The introduction of blocks poses problems regarding transmission, both for the degree at which the work is carried out and for triangular operations necessary for the evaluation of the degrees of the fuzzy data. We propose some solutions. The possibility of defining linguistic variables is provided.

Multicriteria Optimization in a Fuzzy Environment: the Fuzzy Analytic Hierarchy Process

Milanka Gardašević-Filipović, Dragan Z. Šaletić (2010)

The Yugoslav Journal of Operations Research

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Modeling a fuzzy coprocessor and its programming language.

Ricardo García Rosa, Teresa de Pedro Lucio (1998)

Mathware and Soft Computing

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A computational model for a fuzzy coprocessor (types and structures of data and the set of instructions) is proposed. The coprocessor will be charged only of the typical operations of fuzzy logic as calculating membership degrees, unions and intersections of fuzzy sets, fuzzy inferences, defuzzifications and so on. One main novelty is that the programming language admits fuzzy rules conditions in which there would be linguistic edges preceding the predicates and the coprocessor is designed...

An architecture for making judgments using computing with words

Jerry Mendel (2002)

International Journal of Applied Mathematics and Computer Science

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Our thesis is that computing with words needs to account for the uncertainties associated with the meanings of words, and that these uncertainties require using type-2 fuzzy sets. Doing this leads to a proposed architecture for making it judgments by means of computing with words, i.e., to a perceptual computer-the Per-C. The Per-C includes an encoder, a type-2 rule-based fuzzy logic system, and a decoder. It lets all human-computer interactions be performed using words. In this paper,...

Reasoning with Linguistic Preferences Using NPN Logic

Goran Devedžić, Danijela Milošević, Lozica Ivanović, Dragan Adamović, Miodrag Manić (2010)

Computer Science and Information Systems

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Displaying similar documents to “On the equiponderate equation x a + x b + x = x c + x d + 1 and a representation of weight quadruplets.”

Displaying similar documents to “On the equiponderate equation $x^{a} + x^{b} + x = x^{c} + x^{d} + 1$ and a representation of weight quadruplets.”