This paper is devoted to the analysis of additive generators in the form of linear fractional
functions. The limitations on the coefficients of increasing and decreasing generators are …

The purpose of this paper is to establish restrictions on the parameters under which a
function in the form of a natural logarithm of a linear fractional function is a decreasing …

At present, fuzzy modeling has established itself as an effective tool for designing and
develo** systems for various purposes that are used to solve problems of control …

Abstract Alsina, Frank, and Schweizer posed a question whether a non-trivial convex
combination of triangular norms can ever be a triangular norm. In this paper we deal with the …

One may ask when (non-trivial) convex combinations of fuzzy logical operations result in
operations of the same type. This question has been intensively studied for triangular norms …

We deal with fuzzy logical operations with values in the real unit interval. Many of them can
be considered equivalent up to an isomorphism (ie, increasing bijection) of the set of values …

The problem whether a non-trivial convex combination of two continuous triangular norms
can be a t-norm was extensively studied in the last decades, bringing the negative answer in …

We recall that a convex combination of two t-norms T1, T2 is a function F= aT1+(1− a) T2
where a∈[0, 1]. It is immediate that for trivial convex combinations, ie for a∈{0, 1} or for T1 …

This paper presents an approach whose essence is to use functions of a special kind to
establish the structure of known fuzzy operations in the form of triangular norms and …

Fuzzy implications satisfying convexity relations Page 1 Fuzzy implications satisfying convexity
relations Mirko Navara Czech Technical University in Prague, Czech Republic Abstract It is an …