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Computing with words with the use of inverse RDM models of membership functions

100%
Piegat A., Pluciński M.
International Journal of Applied Mathematics and Computer Science
|
2015
|
tom 25
|
nr 3
675-688
EN
Computing with words is a way to artificial, human-like thinking. The paper shows some new possibilities of solving difficult problems of computing with words which are offered by relative-distance-measure RDM models of fuzzy membership functions. Such models are based on RDM interval arithmetic. The way of calculation with words was shown using a specific problem of flight delay formulated by Lotfi Zadeh. The problem seems easy at first sight, but according to the authors' knowledge it has not been solved yet. Results produced with the achieved solution were tested. The investigations also showed that computing with words sometimes offers possibilities of achieving better problem solutions than with the human mind.
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A new definition of the fuzzy set

100%
Piegat A.
International Journal of Applied Mathematics and Computer Science
|
2005
|
tom 15
|
nr 1
125-140
EN
The present fuzzy arithmetic based on Zadeh's possibilistic extension principle and on the classic definition of a fuzzy set has many essential drawbacks. Therefore its application to the solution of practical tasks is limited. In the paper a new definition of the fuzzy set is presented. The definition allows for a considerable fuzziness decrease in the number of arithmetic operations in comparison with the results produced by the present fuzzy arithmetic.
3
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What is not clear in fuzzy control systems

75%
Piegat A.
International Journal of Applied Mathematics and Computer Science
|
2006
|
tom 16
|
nr 1
37-49
EN
The paper presents a number of unclear, unsolved or partly solved problems of fuzzy logic, which hinder precise transformation of expert knowledge about proper control of a plant in a fuzzy controller. These vague problems comprise the realization of logical and arithmetic operations and another basic problem, i.e., the construction of membership functions. The paper also indicates how some of the above problems can be solved.
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