On Rational Uninorms

نویسنده

  • János Fodor
چکیده

In this paper we characterize those uninorms which are rational functions (i.e., quotients of two polynomials). These are closely related to the wellknown parametric families of t-norms and t-conorms studied and characterized by Hamacher [8].

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

SUOWA operators: Constructing semi-uninorms and analyzing specific cases

SUOWA operators are a new family of aggregation functions that simultaneously generalize weighted means and OWA operators. Semi-uninorms, which are an extension of uninorms by dispensing with the symmetry and associativity properties, play a fundamental role in their definition. In this paper we show several procedures to construct semi-uninorms. The first one allows us to obtain continuous sem...

متن کامل

Research on several problems about uninorms

Uninorms introduced by Yager in 1996 are a new class of aggregation operators, which are also an important generalization of t-norms and t-conorms. At present, uninorms have been widely used in lots of fields such as expert system, decision making, fuzzy reasoning, image processing and so on. In the theoretical study about this class of operators, several subclasses emerged, and some extensions...

متن کامل

Left and right semi-uninorms on a complete lattice

Uninorms are important generalizations of triangular norms and conorms, with a neutral element lying anywhere in the unit interval, and left (right) semi-uninorms are non-commutative and non-associative extensions of uninorms. In this paper, we firstly introduce the concepts of left and right semi-uninorms on a complete lattice and illustrate these notions by means of some examples. Then, we la...

متن کامل

Uninorms and nullnorms on the set of discrete fuzzy numbers

In this paper a method to extend discrete uninorms and nullnorms on the finite chain L = {0, . . . , n}, to uninorms and nullnorms defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L is presented. Some basic properties of discrete uninorms and nullnorms are preserved by this extension method and the structure of these kinds of aggreg...

متن کامل

Implications, coimplications and left semi-uninorms on a complete lattice

In this paper, we firstly show that the $N$-dual operation of the right residual implication, which is induced by a left-conjunctive right arbitrary $vee$-distributive left semi-uninorm, is the right residual coimplication induced by its $N$-dual operation. As a dual result, the $N$-dual operation of the right residual coimplication, which is induced by a left-disjunctive right arbitrary $wedge...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997