@article { author = {Forouzesh, F.}, title = {FUZZY OBSTINATE IDEALS IN MV-ALGEBRAS}, journal = {Journal of Algebraic Systems}, volume = {4}, number = {2}, pages = {97-101}, year = {2017}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2017.851}, abstract = {In this paper, we introduce the notion of fuzzy obstinate ideals in MV -algebras. Some properties of fuzzy obstinateideals are given. Not only we give some characterizations of fuzzy obstinate ideals, but also bring the extension theorem of fuzzy obstinate ideal of an MV -algebra A. We investigate the relationships between fuzzy obstinate ideals and the other fuzzy ideals of an MV -algebra. We describe the transfer principle for fuzzy obstinate ideals in terms of level subsets. In addition, we show that if Μ is a fuzzy obstinate ideal of A such that M(0) 2 [0; 1=2], then A=Μ is a Boolean algebra. Finally, we define the notion of a normal fuzzy obstinate ideal and investigate some of its properties.}, keywords = {MV-algebra,fuzzy normal,fuzzy obstinate,fuzzy Boolean}, url = {https://jas.shahroodut.ac.ir/article_851.html}, eprint = {https://jas.shahroodut.ac.ir/article_851_08ccea2270f1cc3558fbf666ad8998c9.pdf} }