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Pseudoadditive states on a logic

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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.

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Authors and Affiliations

  1. Slovak Technical University Bratislava, 813 68, Bratislava, Slovakia

    Radko Mesiar

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  1. Radko Mesiar
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Mesiar, R. Pseudoadditive states on a logic. Int J Theor Phys 32, 1933–1940 (1993). https://doi.org/10.1007/BF00979515

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  • DOI: https://doi.org/10.1007/BF00979515

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