Abstract
The notion of falling fuzzy \(h\)-interior ideals of a hemiring is introduced and some related properties are investigated. A special attention is given to two kinds of certain and impossible probability spaces. Finally, we investigate some characterizations of \(h\)-semisimple and \(h\)-quasi-hemiregular hemirings based on independent (perfect positive correlation) probability spaces.
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The authors are very grateful to referees for their valuable comments and suggestions for improving this paper. This research is partially supported by a grant of National Natural Science Foundation of China (11461025).
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Communicated by V. Loia.
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Zhan, J., Yu, B. & Fotea, VE. Characterizations of two kinds of hemirings based on probability spaces. Soft Comput 20, 637–648 (2016). https://doi.org/10.1007/s00500-014-1528-x
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DOI: https://doi.org/10.1007/s00500-014-1528-x