Applications of Falling Fuzzy h-bi-(h-quasi-)ideals to Hemirings Based on Probability Spaces
Bin Yu and Jianming Zhan
The concepts of falling fuzzy h-bi-ideals and h-quasi-ideals in hemirings are introduced. Some new characterization theorems of these kinds of falling fuzzy h-ideals are also given. Finally, we show that the h-hemiregular and h-intra-hemiregular hemiring can be represented based on independent (prefect positive correlation) probability spaces by using these kinds of falling fuzzy h-bi-ideals and h-quasi-ideals of hemirings.
Keywords: Falling shadow; independent(prefect positive correlation) probability space; fuzzy h-ideal(h-bi-ideal, h-quasi-ideal); falling fuzzy h-ideal(h-bi-ideal, h-quasi-ideal); h-hemiregular hemiring; h-intra-hemiregular hemiring.
2012 Mathematics Subject Classification: 16Y60; 13E05; 16Y99.