An Application of Peircean Triadic Logic: Modelling Vagueness

摘要: Development of decision-support and intelligent agent systems necessitates mathematical descriptions uncertainty fuzziness in order to model vagueness. This paper seeks present an outline Peirce’s triadic logic as a practical new way vagueness the context artificial intelligence (AI). Charles Sanders Peirce (1839–1914) was American scientist–philosopher great logician whose is culmination study semiotics anti-Cantorean continuity infinitesimals. After presenting Peircean within AI perspective, formulation set given relationship with classical fuzzy sets. Using basic logical operators, all possible respective implication bi-equivalence valid rules inference, associative, distributive commutative properties are derived verified through truth function approach. In suggest directions, aggregation operators for have been formulated. A medical diagnostic problem ER diagram library management system using relation show potential further applications proposed logic. Alongside, game—The Wumpus World—is implemented efficacy comparison binary implementation. Besides giving some preliminary formulations trichotomous theory definition finite automaton, development hybrid architectures agents evolutionary computations discussed avenues