Measure Over Fuzzy P- Field and Some of its Properties
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Abstract
In this paper, we introduce the concept of measure with respect to a fuzzy p–field. We define fuzzy measurable spaces, triple fuzzy measurable spaces, countable additivity, null fuzzy sets, and outer measures within this framework. We establish several propositions to demonstrate the properties and relationships among these concepts. We also examine the behavior of fuzzy measurable functions across various fuzzy fields and explore how measurability is preserved or lost under specific mappings.
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