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This paper is divided into two parts. In Part I, our main objective was to analyse Mamdani-type fuzzy control systems in logical terms, with special emphasis on the fuzzy inference process. To that end, we provided our own inference procedure, cast in the language of standard manyvalued logics. We gave an ample discussion of the logical meaning of our procedure. We eventually showed how to fully recover Mamdani-type fuzzy inference from the latter. In this sense, then, our proposal in Part Idoi:10.1109/fuzzy.2010.5584834 dblp:conf/fuzzIEEE/BovaCMM10a fatcat:yfj5ne4f5jh3tjpe7sbyyhmjry