Logical measure: structure of logical formula

  • Authors:
  • Dragan Radojević

  • Affiliations:
  • Mihajlo Pupin Institute, Volgina 15, 11000 Beograd, Serbia, Yugoslavia

  • Venue:
  • Technologies for constructing intelligent systems
  • Year:
  • 2002

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Abstract

The structure of logical and/or pseudo-logical formula is introduced. The structure of logical formula is its characteristic invariant to its functional realization ({0,1}-valued, many-valued and/or [0,1]-valued logical function). The Boolean algebra is defined on the set of all n-ary logical structures. The fundamental principle of structural functionality is introduced. A logical discrete Choquet integral is defined as [0,1]-valued logical and pseudo-logical function for AND operator defined as min function.