γ– algebra of Sets and Some of its Properties | Iraqi Journal of Science

Authors

Ibrahim S. Ahmed Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq https://orcid.org/0000-0003-4466-3263
Hassan H. Ebrahim Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq https://orcid.org/0000-0001-6931-9392
Ali Al-Fayadh Department of Mathematics and Computer Applications, College of Science, Al – Nahrain University, Baghdad, Iraq https://orcid.org/0000-0003-1652-9673

DOI:

https://doi.org/10.24996/ijs.2022.63.11.28

Keywords:

σ–algebra, algebra, measure, fuzzy set, outer measure

Abstract

The main objective of this work is to generalize the concept of fuzzy algebra by introducing the notion of fuzzy algebra. Characterization and examples of the proposed generalization are presented, as well as several different properties of fuzzy algebra are proven. Furthermore, the relationship between fuzzy algebra and fuzzy algebra is studied, where it is shown that the fuzzy algebra is a generalization of fuzzy algebra too. In addition, the notion of restriction, as an important property in the study of measure theory, is studied as well. Many properties of restriction of a nonempty family of fuzzy subsets of fuzzy power set are investigated and it is shown that the restriction of fuzzy algebra is fuzzy algebra too.

Downloads

PDF

Published

2022-11-30

Issue

Vol 63 No 11 (2022)

Section

Mathematics

How to Cite

γ– algebra of Sets and Some of its Properties. (2022). Iraqi Journal of Science, 63(11), 4918-4927. https://doi.org/10.24996/ijs.2022.63.11.28

Download Citation

Crossref

Scopus

Google Scholar

Europe PMC

Similar Articles

Ala'a Lafta, GENERALIZATION OF THE RULE COUNTING OF THE FREE VARIABLES IN DOUBLE-EVEN PANDIAGONAL MAGIC SQUARES , Iraqi Journal of Science: Vol. 49 No. 2 (2008)
Sadiq Nassir, ON THE RANGE OF THE MAP N AB , Iraqi Journal of Science: Vol. 49 No. 2 (2008)
Khalid Yahya, Riayhd Al-Ani, Sabah Mazher, A STUDY OF ION BOMBARDMENT TIME FOR COPPER SPUTTERING BY USING AN ARGON – ARC PLASMA , Iraqi Journal of Science: Vol. 49 No. 2 (2008)
Abdul-Ruhman Hameed, Kassim Abdul-Hameed, SOME RESULTS ON (σ,τ)-DERIVATION IN PRIME RINGS , Iraqi Journal of Science: Vol. 49 No. 1 (2008)
ITHAR Al-Mayaly, REMOVAL OF NICKEL IONS BY Scenedesmus quadricauda FROM CONTAMINATED WATER UNDER LABORATORY CONDITIONS , Iraqi Journal of Science: Vol. 50 No. 4 (2009)
Nabeel Tawfiq, Faleh Mahmood, Israa Muhsin, HIGH RESOLUTION DEM PRODUCTION USING MODIFIED INTERPOLATION METHODS (QUADRANT & OCTANT) , Iraqi Journal of Science: Vol. 50 No. 3 (2009)
Wejdan Amer, EFFICIENT AND FAST DISTORTED CHARACTER RECOGNITIONALGORITHM , Iraqi Journal of Science: Vol. 50 No. 3 (2009)
Fouad A., FINGERPRINT VERIFICATION SYSTEM USING PRINCIPALCOMPONENT TRANSFORMATION EIGENVECTORS TECHNIQUE , Iraqi Journal of Science: Vol. 51 No. 4 (2010)
Sarab Hameed, Maisaa Abdul-Hussain, Zayneb Ahmed, RETRIEVING DOCUMENT WITH COMPACT GENETIC ALGORITHM(cGA) , Iraqi Journal of Science: Vol. 51 No. 4 (2010)
Ahmed Mohammed, Ammirah Omar, Mohammed Nader, STUDY OF OPTIMUM CONDITIONS IN DETECTION OF ABO GENOTYPE BY SIMULTANEOUS PCR-RFLP METHOD , Iraqi Journal of Science: Vol. 51 No. 4 (2010)

1-10 of 575 Next

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)

Abdul Rahman S. Juma, Ali Al-Fayadh, Nihad H. Shehab, Estimates of Coefficient for Certain Subclasses of k-Fold Symmetric Bi-Univalent Functions , Iraqi Journal of Science: Vol 63 No 5 (2022)