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Some Properties of Disjoint Variation of Fuzzy Set Functions

Authors: Fengye Wang; Qiang Zhang;

Some Properties of Disjoint Variation of Fuzzy Set Functions

Abstract

Disjoint variation is one of the variations of set functions, which plays an important role in the decomposition of set functions. In the paper, we generalize the definition of disjoint variation to the fuzzy set functions and the fundamental t-norm Tinfin and Sinfin are considered as the operation of the fuzzy sets. Some theories are proved for finitely Tinfin -additive fuzzy set functions with bounded disjoint variation and some properties of disjoint variation of the non-additive fuzzy set functions are given.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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