Representation and construction of intuitionistic fuzzy T-preorders and fuzzy weak T-orders
نویسندگان
چکیده
منابع مشابه
Generation and Characterization of Fuzzy T-preorders
This paper studies T -preorders than can be generated in a natural way by a single fuzzy subset. These T -preorders are called one-dimensional and are of great importance, since every T -preorder can be generated by combining onedimensional ones. In the paper, the relation between fuzzy subsets generating the same T -preorder is given and one-dimensional T -preorders are characterized in two di...
متن کاملIntuitionistic ( S , T )-fuzzy hyperquasigroups
The concept of intuitionistic fuzzy subhyperquasigroups in a hyperquasigroup with respect to an snorm and a t-norm on intuitionistic fuzzy sets is introduced and their properties of such hyperquasigroups are studied. Intuitionistic (S, T )-fuzzy relations on a hyperquasigroup G are discussed. In particular, we investigate connections hyperquasigroups with binary quasigroups.
متن کاملT-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A BL-ALGEBRA
In this note, we introduce the concept of a fuzzy filter of a BLalgebra,with respect to a t-norm briefly, T-fuzzy filters, and give some relatedresults. In particular, we prove Representation Theorem in BL-algebras. Thenwe generalize the notion of a fuzzy congruence (in a BL-algebra) was definedby Lianzhen et al. to a new fuzzy congruence, specially with respect to a tnorm.We prove that there i...
متن کاملA Review of Construction and Representation Results for Fuzzy Weak Orders
Weak orders, i.e. reflexive, transitive, and complete binary relations, are among the most fundamental concepts in preference modeling. It is wellknown that weak orders are nothing else but linear orders of equivalence classes, where the corresponding equivalence relation is the symmetric kernel of the weak order. If the underlying set of alternatives X is finite, a weak order can be represente...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discussiones Mathematicae - General Algebra and Applications
سال: 2021
ISSN: 1509-9415,2084-0373
DOI: 10.7151/dmgaa.1345