On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Fuzzy integral in multicriteria decision making
Fuzzy Sets and Systems - Special issue on fuzzy information processing
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Extensions of fuzzy aggregation
Fuzzy Sets and Systems
Rapid Prototyping for Fuzzy Systems
GLSVLSI '96 Proceedings of the 6th Great Lakes Symposium on VLSI
An Investigation of the Laws of Thought
An Investigation of the Laws of Thought
Multiple-Valued Logic its Status and its Future
IEEE Transactions on Computers
Design and application of an analog fuzzy logic controller
IEEE Transactions on Fuzzy Systems
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We are primarily concerned with the problem of representing imprecise statements and knowledge as well as drawing conclusions based on this type of knowledge. Our particular interest is to establish an efficient method, capable to represent and apply (i.e. reason with) imprecise knowledge within real problems. In the present paper we first introduce an axiomatic framework and discuss it with illustrative examples. One suggestion for an application-oriented specialization is given by scalar fuzzy control (SFC), which is presented in the second part of this paper. After the introduction of the SFC theory, it is proofed that it is a member of the axiomatic framework. Its usage is finally illustrated by applying it to the well known inverted pendulum problem.