典型文献
Generalized valuations on MTL-algebras
文献摘要：
In this paper,we study some kinds of generalized valuations on MTL-algebras,discuss the relationship between the cokernel of generalized valuations and types of filters on MTL-algebras.Then,we give some equivalent characterizations of positive implicative generalized valuations on MTL-alge-bras.Finally,we characterize the structure theory of quotient MTL algebras based on the congruence relation,which is constructed by generalized valua-tions.The results of this paper not only generalize related theories of generalized valuations,but also enrich the algebraic conclusion of probability measure,on algebras of triangular norm based fuzzy logic.
文献关键词：
中图分类号：
作者姓名：
Juntao WANG;Pengfei HE
作者机构：
School of Science,Xi'an Shiyou University,Xi'an 710065,China;School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,China
文献出处：
引用格式：
[1]Juntao WANG;Pengfei HE-.Generalized valuations on MTL-algebras)[J].中国数学前沿,2022(04):521-543
A类：
cokernel,implicative,alge,bras,valua
B类：
Generalized,valuations,MTL,algebras,In,this,paper,study,some,kinds,generalized,discuss,relationship,between,types,filters,Then,give,equivalent,characterizations,positive,Finally,characterize,structure,theory,quotient,congruence,which,constructed,by,results,not,only,related,theories,but,also,enrich,algebraic,conclusion,probability,measure,triangular,norm,fuzzy,logic
AB值：
0.470721
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