A Construction of a Fuzzy Valued Measure Based on Minimum t-norm

In this paper we generalize the well known construction of ”classic” measure theory to the fuzzy case. We consider such T-norm based classes of fuzzy sets as T-semirings and T-tribes (T - sigmaalgebras), such fuzzy valued functions as elementary T-measures, exterior T-measures and T-measures, and we suggest the construction of a TM-measure by extension of an elementary TM-measure on a TM-semiring to a TM-measure on a TM-tribe in the case of the minimum T-norm TM.

• Type: Conference
• Year: 2007
• Where: EUSFLAT
• Authors: Vechislav Ruzha, Svetlana Asmuss
• Keywords: EUSFLAT 2007, Fuzzy Case, Fuzzy Valued Functions, T-norm Based Classes