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15 Result(s)
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Da Ruan
Artificial Intelligence
Mathematical and Computational Engineering
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Book
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Chapter
Preliminaries
This chapter aims to recall basic concepts of set theory and abstract algebra including set, relation, isomorphism, lattice, Boolean algebra and soft algebra, which will serve as the base of the remaining chap...
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Chapter
Fuzzy Inference and Fuzzy Control
The major subject of this chapter is fuzzy control, one of the most successful application areas of fuzzy set theory. Nowadays, many fuzzy products are visible in the market. Almost every fuzzy product is rela...
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Chapter
Fuzzy Relations
As known to us, a relation is a subset of the Cartesian product of two sets. A relation is naturally fuzzified while a subset is fuzzified. In fact, whether two objects have a relation is not always easy to de...
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Chapter
A Brief Introduction to Some Pure Mathematical Topics
As known to us, the theory of classical sets is the foundation on which modern mathematics rests. When sets are fuzzified, some traditional pure mathematical branches are accordingly generalized. In this chapt...
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Chapter
Basics of Fuzzy Sets
In this chapter, we focus on the introduction of fundamentals in fuzzy set theory, including some set-theoretic operations and their extensions, the decomposition of a fuzzy set, and mathematical representatio...
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Chapter
Extension Principle and Fuzzy Numbers
In the traditional multi-attribute decision analysis, there is a well-defined problem-solving model–the Simple Additive Weighting (SAW) method. This model can be formulated as follows. Let A1, A2, ..., A ...
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Book
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Chapter
Fuzzy Set Techniques in E-Service Applications
E-services involve various types, delivery systems, advanced information technologies, methodologies and applications of online services that are provided by e-government, e-business, e-commerce, e-market, e-f...
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Chapter
Fuzzy Multi-Objective Decision-Making Models and Approaches
Multi-objective linear programming (MOLP) techniques are widely used to model many organizational decision problems. Referring to the imprecision inherent in human judgments, uncertainty may be incorporated in...
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Chapter
Fuzzy-Set Decision Support for a Belgian Long-Term Sustainable Energy Strategy
This chapter addresses the methodological challenges of develo** relevant scientific knowledge for a sustainable energy system transition in an innovative way. We argue that scientific contributions to susta...
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Book
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Chapter
Nuclear Reactor Power Control Using State Feedback with Fuzzy Logic
A novel control scheme for power regulation in a research nuclear reactorhas been developed. The scheme combines different techniques such as state variablefeedback, first order numerical integration for state...
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Chapter
Weak Completeness of Resolution in a Linguistic Truth-Valued Propositional Logic
In the present paper, the weak completeness of a-resolution principle for a lattice-valued logic (L n ×L2)P(X) with truth value in a logical algebra ( lattice implication algebr...
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Chapter
Why Fuzzy Logic? – A Spectrum of Theoretical and Pragmatics Issues
This chapter briefly summarizes the contents of the whole book. The research survey presents a snap shot of the state-of-the-art of the active on-going research of the current maturity of fuzzy logic. In addit...
