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The role of normal logical form in decision-making and knowledge management

Author

Listed:
  • Tadeusz Galanc
  • Wiktor Kołwzan
  • Jerzy Pieronek

Abstract

The normal form in logic has been considered. Any propositional function, i.e. any finite logical expression can be written in such a form. This indicates the possibility of an unequivocal logical representation of many different objects investigated in science and everyday life. The properties of the normal form give a new dimension to the management of processes examined in science. Understanding of the laws of logic and its calculus allows us to obtain this form in a finite number of logical transformations. In addition, this form indicates the cognitive essence and pragmatic dimension of logic. The paper considers axiomatization, and then optimization. Both of these formulations of logic reflect its essence. Shannon’s theorem gives us only a modest signpost that reality has a complex nature, which is confirmed by the richness of logic in the form of its equivalent propositional functions. Knowledge about the behavior of these structures is ambiguous in terms of the complexity of the corresponding logical expressions, that is, two different or identical logical functions may be related to identical (similar) or quite different behaviors in relation to the processes or objects represented by these functions.

Suggested Citation

  • Tadeusz Galanc & Wiktor Kołwzan & Jerzy Pieronek, 2014. "The role of normal logical form in decision-making and knowledge management," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(2), pages 35-58.
    • Handle: RePEc:wut:journl:v:2:y:2014:p:35-58:id:1124
    DOI: 10.5277/ord140202
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    Cited by:

    1. Tadeusz Galanc & Wiktor Kołwzan & Jerzy Pieronek & Agnieszka Skowronek-Grądziel, 2017. "Management and decisions in the structures of human activities," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(4), pages 45-69.
    2. Tadeusz Galanc & Wiktor Kołwzan & Jerzy Pieronek & Agnieszka Skowronek-Grądziel, 2016. "Logic and risk as qualitative and quantitative dimensions of decision-making processes," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(3), pages 21-42.
    3. Wiktor Kolwzan & Agnieszka Skowronek-Gradziel & Teresa Kupczyk & Joanna Holub-Iwan & Stanislawa Ostasiewicz, 2021. "Development and Education of Employees in the Light of the Formation of Their Value Systems," European Research Studies Journal, European Research Studies Journal, vol. 0(4), pages 246-261.

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