The Role of Constrained Fuzzy Arithmetic in Engineering

When fuzzy arithmetic is employed for dealing with fuzzy systems, which are viewed as systems of linguistic variables, it is essential to take into account all information regarding the linguistic variables involved. It is argued that the standard fuzzy arithmetic does not utilize some of the information available. As a consequence, it may produce results that are more imprecise than necessary or, possibly, even incorrect. Basic ideas of a revised fuzzy arithmetic, which takes all available information into account in terms of relevant requisite constrains, are discussed and illustrated by some examples, focusing particularly on those pertaining to the various areas of engineering.

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