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Averaging premises.

Enric TrillasElena E. CastiñeiraSusana Cubillo — 2001

Mathware and Soft Computing

This paper deals with the sets of strict conjectures and consequences of a given collection P of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. Averaging Functions allow to interpret restricted consequences as averages of premises. The subset of consequences C*(P) and the subset of conjectures Φ*(P) defined by means of the averaging function g are introduced, and their properties are studied. This sets allow to give decomposition...

Searching degrees of self-contradiction in Atanassov's fuzzy sets.

Elena E. CastiñeiraSusana CubilloCarmen Torres — 2006

Mathware and Soft Computing

In [11] and [12] Trillas et al. introduced the study of contradiction in the framework of Fuzzy Logic because of the significance to avoid contradictory outputs in the processes of inference. Later, the study of contradiction in the framework of intuitionistic or Atanassov s fuzzy sets was initiated in [6] and [5]. The aim of this work is to go into the problem of measuring the self-contradiction in the case of intuitionistc fuzzy sets, since it is interesting to know not only if a set is contradictory,...

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