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半环的不确定性理想理论

  2020-07-13 00:00:00  

半环的不确定性理想理论 目录

preface
chapter 1 introduction.
1.1 hemirings 
1.2 fuzzy sets 
1.3 rough sets 
1.4 soft sets 
chapter 2 fuzzy h-ideals.
2.1 fuzzy h-ideals 
2.2 fuzzy h-bi-(h-quasi-, h-interior) ideals 
2.3 (∈, ∈∨q)-fuzzy h-ideals 
2.4 (∈, ∈∨q)-fuzzy h-bi-(h-quasi-, h-interior) ideals 
2.5 (∈γ, ∈γ ∨qδ)-fuzzy h-ideals 
2.6 (∈γ, ∈γ ∨qδ)-fuzzy h-bi-(h-quasi-, h-interior) ideals 
chapter 3 hemirings via (∈γ, ∈γ ∨qδ)-fuzzy h-ideals 
3.1 h-hemiregular hemirings via (∈γ, ∈γ ∨qδ)-fuzzy h-ideals 
3.2 h-intra-hemiregular hemirings via (∈γ, ∈γ∨qδ)-fuzzy h-ideals 
3.3 h-quasi-hemiregular hemirings via (∈γ, ∈γ∨qδ)-fuzzy h-ideals 
3.4 h-semisimple hemirings via (∈γ, ∈γ∨qδ)-fuzzy h-ideals 
chapter 4 fuzzy soft hemirings 
4.1 soft hemirings 
4.2 h-(h-bi-, h-quasi-, h-interior) idealistic soft hemirings 
4.3 four kinds of hemirings by soft h-idealistic ideals 
4.4 (∈γ, ∈γ∨qδ)-fuzzy soft h-(h-bi-, h-quasi-, h-interior) ideals 
4.5 four kinds of hemirings by (∈r, ∈r ∨ qδ)-fuzzy soft h-ideals 
chapter 5 (m,n)-si-hemirings 
5.1 (m,n)-si-hemirings 
5.2 (m,n)-si-h-ideals 
5.3 (m,n)-si-h-bi-(h-quasi-) ideals 
chapter 6 (m,n)-su-hemirings.
6.1 (m,n)-su-h-hemirings.
6.2 (m,n)-su-h-ideals.
6.3 (m,n)-su-h-bi-(h-quasi-) ideals 
chapter 7 hemirings via (m,n)-si-h-ideals 
7.1 h-hemiregular hemirings via (m,n)-si-h-ideals.
7.2 h-intra-hemiregular hemirings via (m,n)-si-h-ideals 
7.3 h-quasi-hemiregular hemirings via (m,n)-si-h-ideals
chapter 8 hemirings via (m,n)-su-h-ideals 
8.1 h-hemiregular hemirings via (m,n)-su-h-ideals 
8.2 h-intra-hemiregular hemirings via (m,n)-su-h-ideals 
chapter 9 rough soft hemirings 
9.1 fuzzy congruences and fuzzy strong h-ideals 
9.2 rough fuzzy (fuzzy rough) strong h-ideals 
9.3 rough soft hemirings 
references.
index

半环的不确定性理想理论

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