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Pseudoadditive states on a logic

Research paper by Radko Mesiar

Indexed on: 01 Oct '93Published on: 01 Oct '93Published in: International Journal of Theoretical Physics



Abstract

We propose an extension of the notion of a state on a logic to a pseudoadditive state on a logic replacing the ordinary addition by a pseudoaddition. As a special class we underline the possibility states based on the operation of supremum. For a Boolean algebraB and a logicL, we study the extension of the pseudoadditive states onB andL to a pseudoadditive state on their Pták sum B+L.