Adjoint relations of S-fuzzy posets with some categories
عنوان مقاله: Adjoint relations of S-fuzzy posets with some categories
شناسه ملی مقاله: FJCFIS09_045
منتشر شده در نهمین کنگره مشترک سیستم های فازی و هوشمند ایران در سال 1400
شناسه ملی مقاله: FJCFIS09_045
منتشر شده در نهمین کنگره مشترک سیستم های فازی و هوشمند ایران در سال 1400
مشخصات نویسندگان مقاله:
Leila Shahbaz - Department of Mathematics, University of Maragheh, Maragheh ۵۵۱۸۱-۸۳۱۱۱, Iran,
خلاصه مقاله:
Leila Shahbaz - Department of Mathematics, University of Maragheh, Maragheh ۵۵۱۸۱-۸۳۱۱۱, Iran,
In this paper, recalling the category FPos-S of all S-fuzzy posets, and action and order preserving maps between them, some categorical properties of the category FPos-S is studied. In particular, we characterize products, coproducts, equalizers, coequalizers, pullbacks and pushouts in this category. Also, all forgetful functors between the category FPos-S and the categories FPos of fuzzy posets, Pos-S, Pos, Act-S and Set are considered, and the existence of left and right adjoints of all mentioned forgetful functors are studied.
کلمات کلیدی: fuzzy poset, S-fuzzy poset, free, cofree, adjoint relations
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1438271/