Some comments on interval valued fuzzy sets. (English) Zbl 0865.04006

Gehrke, Mai; Walker, Carol; Walker, Elbert

Int. J. Intell. Syst. 11, No. 10, 751-759 (1996).

The paper deals with fuzzy set theoretical models where the values of membership functions are open sub-intervals of \([0,1]\). The concepts of \(t\)-norm and \(t\)-conorm are used as the main theoretical tools for managing the described model. The adequacy of \(t\)-norms for the considered fuzzy set theoretical structures is shown by the main results of the paper. The work is based on the general results derived in the authors’ previous paper [“De Morgan systems of the unit interval”, ibid. 733-750 (1996); see the preceding review].

Reviewer: M.Mareš (Praha)

MSC:

03E72

Theory of fuzzy sets, etc.

Keywords:

logical connectives; interval valued fuzzy sets; \(t\)-norm; \(t\)-conorm