A Construction of a Fuzzy Valued Measure Based on Minimum t-norm
نویسندگان
چکیده
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.
منابع مشابه
A construction of an L-fuzzy valued measure of L-fuzzy sets
We develope a construction of an L-fuzzy valued measure by extending a measure defined on a σ-algebra of crisp sets to an L-fuzzy valued TM-countably additive measure defined on a TMclan of L-fuzzy sets in the case when operations for L-fuzzy sets and L-fuzzy real numbers are based on the minimum t-norm TM. Keywords— L-fuzzy set, L-fuzzy real number, L-fuzzy valued measure.
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