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Quasi Product on Boolean D-Posets

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Abstract

The pointwise multiplication on a full tribe and the product operation on an MV-algebra play a crucial role in the construction of a joint observable. In the present paper we introduce a quasi product operation on Boolean D-posets and describe its properties. Our quasi product generalizes product on MV-algebras and in some cases also t-norms.

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Authors and Affiliations

  1. Department of Engineering Fundamentals, Faculty of Electrical Engineering, University of Žilina, kpt. Nálepku 1390, 03101, Liptovský Mikuláš, Slovakia

    František Kôpka

  2. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 81473, Bratislava, Slovakia

    František Kôpka

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  1. František Kôpka
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Correspondence to František Kôpka.

Additional information

This work was supported by Science and Technology Assistance Agency under the contracts No. APVT-51-032002, APVV-0071-06, and by the grant Center of Excellence Physics of Information I/2/2005.

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Kôpka, F. Quasi Product on Boolean D-Posets. Int J Theor Phys 47, 26–35 (2008). https://doi.org/10.1007/s10773-007-9457-4

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  • DOI: https://doi.org/10.1007/s10773-007-9457-4

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