An algebraic model of reasoning to support zadeh’s cww

Abstract

In the very wide setting of a Basic Fuzzy Algebra, a formal algebraic model for Commonsense Reasoning is presented with fuzzy and crisp sets including, in particular, the usual case of the Standard Algebras of Fuzzy Sets. The aim with which the model is constructed is that of, first, adding to Zadeh’s Computing with Words a wide perspective of ordinary reasoning in agreement with some basic characteristics of it, and second, presenting an operational ground on which linguistic terms can be represented, and schemes of inference posed. Additionally, the chapter also tries to express the author’s belief that reasoning deserves to be studied like an Experimental Science.