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Peer-reviewedCC BYTikrit Journal of Pure Science

Measure Over Fuzzy P- Field and Some of its Properties

  • Amira S. Khamees1
  • Hassan H. Ebrahim2
  1. 1Department of Mathematics, College of Education for Women, Tikrit University, Iraq
  2. 2Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Iraq
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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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Cite

BibTeXRIS
BibTeX
@article{khamees2026measure,
  title = {{Measure Over Fuzzy P- Field and Some of its Properties}},
  author = {Amira S. Khamees and Hassan H. Ebrahim},
  journal = {Tikrit Journal of Pure Science},
  year = {2026},
  month = oct,
  doi = {10.25130/tjps.v31i5.1988},
  url = {https://doi.org/10.25130/tjps.v31i5.1988},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Measure Over Fuzzy P- Field and Some of its Properties
AU  - Amira S. Khamees
AU  - Hassan H. Ebrahim
PY  - 2026
DA  - 2026/10/25
JO  - Tikrit Journal of Pure Science
DO  - 10.25130/tjps.v31i5.1988
UR  - https://doi.org/10.25130/tjps.v31i5.1988
AB  - 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.
SN  - 1813-1662
SN  - 2415-1726
ER  -