− We discuss the concept of robustness with respect to parsing a context-free language. Our approach is based on the notions of fuzzy language, (generalized) fuzzy context-free grammar and parser / recognizer for fuzzy languages. As concrete examples we consider a robust version of Cocke−Younger−Kasami’s algorithm and a robust kind of recursive descent recognizer.

This paper deals with ridge estimation of fuzzy nonparametric regression models using triangular fuzzy numbers. This estimation method is obtained by implementing ridge regression learning algorithm in the La- grangian dual space. The distance measure for fuzzy numbers that suggested by Diamond is used and the local linear smoothing technique with the cross- validation procedure for selecting t...

Zadeh in 1965 introduce the concept of a fuzzy set which now have a wide range of applications in various fields of Engineering Sciences, Computer Science and Management Sciences. It is worth mentioning here that for applications of fuzzy sets mostly associative algebraic structures are used such as in 2003, Mordeson, Malik and Kuroki have discovered the applications of fuzzy semigroups in fuzz...

Users are often interested in answers to vaguely defined questions that. are nat,ural for human but. inconvenient for the machine. The traditional query languages manage binary queries only. In t,his paper we suggest how to construct fuzzy queries t,hat apply to random data. We reach our goal by combining fuzzy query wit,h a suitable stat.ist.ica1 test. for fuzzy hypotheses.

The traditional query languages used in database management systems require precise and unambiguous queries only. Fuzzy querying were introduced to relax this rigidity and allow the user for a more natural information retrieval. In this paper we suggest how to enrich fuzzy querying by the use of intuitionistic fuzzy values.

In this paper, we study a pair of fuzzy primal–dual linear programming problems and calculate duality results using an aspiration level approach. We use an exponential membership function, which is in contrast to the earlier works that relied on a linear membership function. As the fuzzy environment causes a duality gap, we investigate how choosing the exponential membership function impacts th...

This paper takes part in the discussion motivated by Elkan's paper ``The Paradoxical Success of Fuzzy Logic'' printed in 1993, whose main theoretical point was that Fuzzy Logic does not properly deal with a speci®c Law of Classical Logic: :…p ^ :q† ˆ q _ …:p ^ :q†. The given answer can be summarized, like in other previous cases, by the sentence ``Yes it can but, of course, at some cost''. As i...

We introduce MK-fuzzy automata over a bimonoid K which is related to the fuzzification of the McCarthy-Kleene logic. Our automata are inspired by, and intend to contribute to, practical applications being in development in the LogicGuard project [15, 16]. We investigate closure properties of the class of MK-fuzzy languages accepted by MK-fuzzy automata as well as by their deterministic counterp...

In recent decades, several types of sets, such as fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type 2 fuzzy sets, type n fuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely. In this paper, we propose dual hesitant fuzzy sets DHFSs , which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy...

Human knowledge is commonly expressed linguistically, i.e., truth of vague sentences is given in linguistic terms, and many hedges are often used simultaneously to state different levels of emphasis. In this paper, we propose an axiomatization of mathematical fuzzy logic with many hedges where each hedge does not have any dual one. Then, we present linguistic logics built based on the proposed ...