Abstract
The field of conditional event algebra is a newly emerging approach to establishing algebraic bases for probabilistic conditioning. This has been further enhanced, more recently, by the development of a conditional event algebra based upon a countable product space construction. This paper considers a new rigorous approach to the development of conditional fuzzy sets, based upon the further extension of conditional event algebra to a fuzzy setting, using the previously established one-point random set coverage probability representation of fuzzy sets.
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