2015
DOI: 10.1515/amcs-2015-0049
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Computing with words with the use of inverse RDM models of membership functions

Abstract: 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… Show more

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Cited by 25 publications
(5 citation statements)
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“…Thus, we should include logic properties of human evaluation, which is not a linear one. Further, using both numerical and linguistic data and information enables more effective decision-making (Piegat and Pluciński, 2015). This paper, however, focuses on a different utility task, but the same principle should be met.…”
Section: Discussionmentioning
confidence: 99%
“…Thus, we should include logic properties of human evaluation, which is not a linear one. Further, using both numerical and linguistic data and information enables more effective decision-making (Piegat and Pluciński, 2015). This paper, however, focuses on a different utility task, but the same principle should be met.…”
Section: Discussionmentioning
confidence: 99%
“…As noted, the experiments involved the optimization of eight benchmark functions with two unknowns [56,57], aiming at identifying their global minimum within specified ranges of variable values [58,59]. Table 2 furnishes the function names, variable value interval limits, sought values of the two unknowns, and the desired global minimum value.…”
Section: Benchmark Functionsmentioning
confidence: 99%
“…While some branches of science sought to answer the question about the nature of the similarities, others need precise, formal definition. Comparison of two objects or occurrences can be seen as an attempt to determine the relation between them (Piegat, 2015, Piegat et al, 2015. The most important and most frequently used relations between objects are similarity, difference and inclusion.…”
Section: Intruductionmentioning
confidence: 99%