این سایت در حال حاضر پشتیبانی نمی شود و امکان دارد داده های نشریات بروز نباشند
Iranian Journal of Fuzzy Systems، جلد ۲۰، شماره ۳، صفحات ۹۵-۱۱۳
عنوان فارسی
چکیده فارسی مقاله
کلیدواژه‌های فارسی مقاله
عنوان انگلیسی A new extension of a triangular norm on a subinterval $[0,alpha]$ via an interior operator to the underlying entire bounded lattice
چکیده انگلیسی مقاله As a proper generalization of the ordinal sum t-norm construction on bounded lattices proposed in [E. Ac{s}{i}c{i}, R. Mesiar, New constructions of triangular norms and triangular conorms on an arbitrary bounded lattice, International Journal of General Systems, {bf 49}(2) (2020), 143-160], the present paper studies a new extension of a triangular norm on a subinterval $[0,alpha]$ via an interior operator to the underlying entire bounded lattice, where the necessary and sufficient conditions under which the constructed operation is again a t-norm are given. By comparing the graphic structures of two t-norms on a common bounded lattice which are constructed in different ways, it is shown that the new method in this paper is essentially different from the ones existing in the literature. As an end, this new construction is generalized to construct ordinal sums of finitely many t-norms by recursion on bounded lattices. The dual results for ordinal sum construction of t-conorms via closure operators on bounded lattices are also presented.
کلیدواژه‌های انگلیسی مقاله triangular norm, Ordinal sum, Bounded lattice, Interior operator
نویسندگان مقاله H. Zhou |
Institute of Mathematics, Shaanxi Normal University, Xi'an, China

H. Zhou |
Institute of Mathematics, Shaanxi Normal University, Xi'an, China

نشانی اینترنتی https://ijfs.usb.ac.ir/article_7641_36cff40d05385228ebe09d4e3a9138ec.pdf
فایل مقاله فایلی برای مقاله ذخیره نشده است
کد مقاله (doi)
زبان مقاله منتشر شده en
موضوعات مقاله منتشر شده
نوع مقاله منتشر شده
برگشت به: صفحه اول پایگاه   |   نسخه مرتبط   |   نشریه مرتبط   |   فهرست نشریات