A SOLUTION TO TRANSPORT EQUATION WITH INTERACTIVE FUZZY DATA VIA DRASTIC T-NORM
Abstract
In this paper, we study the transport equation with uncertain parameter and initial condition modeled by interactive fuzzy number and fuzzy-number-valued function respectively. The fuzzy solution to the problem is obtained by extending the classical one using the extension principle via drastic t-norm (the weakest tnorm TD). The interactivity considered is the one associated to TD. Some results of TD-based addition and product are given, and two illustrative examples are presented.
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