Title of article
Fuzzy Convex Subalgebras of Commutative Residuated Lattices
Author/Authors
Shokoofeh Ghorbani، Shokoofeh Ghorbani نويسنده Department of Mathematics of Bam, Shahid Bahonar University of Kerman, Kerman, Iran , , Abbas Hasankhani، Abbas Hasankhani نويسنده Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran ,
Issue Information
دوفصلنامه با شماره پیاپی 0 سال 2010
Pages
14
From page
41
To page
54
Abstract
در اين مقاله، مفهوم روابط همنهشتي فازي و زير جبرهاي محدب فازي را روي مشبكه مانده جابجايي تعريف خواهيم كرد و نتايجي را بدست خواهيم آورد. بخصوص، نشان خواهيم داد تناظري يك به يك بين مجموعه همه روابط همنهشتي فازي و مجموعه همه زير جبرهاي محدب فازي يك مشبكه مانده جابجايي وجود دارد. سپس زير جبرهاي محدب فازي مشبكه مانده جابجايي تام را مطالعه مي كنيم و ثابت مي كنيم كه هر زير جبر محدب فازي مشبكه مانده جابجايي تام يك فيلتر فازي است و برعكس.
Abstract
In this paper, we define the notions of fuzzy congruence relations
and fuzzy convex subalgebras on a commutative residuated lattice
and we obtain some related results. In particular, we will show
that there exists a one to one correspondence between the set of all
fuzzy congruence relations and the set of all fuzzy convex
subalgebras on a commutative residuated lattice. Then we study
fuzzy convex subalgebras of an integral commutative residuated
lattice and will prove that fuzzy filters and fuzzy convex
subalgebras of an integral commutative residuated lattice
coincide.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2010
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2384285
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