Similarity Measurement in Interpolative Fuzzy Reasoning

نویسنده

  • Zsolt Csaba JOHANYÁK
چکیده

Systems based on interpolative fuzzy reasoning work with sparse rule bases. In case of some input values the system should approximate the output value. Carrying out this task depends on the right selection of the suitable fuzzy similarity measure. The goal of this paper is presenting two of such measures, which are also applied in some interpolation based fuzzy reasoning methods.

برای دانلود 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

A new fuzzy interpolative reasoning method based on center of gravity

Interpolative reasoning methods do not only help reduce the complexity of fuzzy models hut also make inference in sparse-rule based systems possible. This paper presents an interpolative reasoning method by exploiting the center of gravity (COG) property of the fuzzy sets concerned. The method works by first constructing a new inference rule via manipulating two given adjacent rules, and then b...

متن کامل

Fuzzy Interpolative Reasoning Methods and Algorithms for the Sparse Fuzzy Rule

In this paper, a new fuzzy interpolative reasoning method is proposed for the sparse rule bases by using the highest points and slopes of the antecedent and consequent fuzzy sets. The proposed fuzzy reasoning methods are not only suitable for the four kinds of fuzzy sets in inference rules, but also can guarantee the convexity and normality of the reasoning consequence. Furthermore, the computa...

متن کامل

Similarity Based Fuzzy Interpolation Applied to CAGD

This paper presents an approach to a system based on fuzzy logic for the design of interpolative curves and surfaces in the context of Computer Aided Geometric Design (CAGD). Some problems arising from a previous model are studied by using a similarity approach. Keywords— Fuzzy interpolation, indistinguishability operator, fuzzy number, Computer Aided Geometric Design,approximate reasoning, t-n...

متن کامل

An Interpolative Reasoning Method Based on Hedge Algebras and Its Application to a Problem of Fuzzy Control

The paper aims to show an applicability of the algebraic approach introduced in [7,9,11,6] to solving a problem of fuzzy control. In this approach, linearly ordered term-domains of linguistic variables can be considered as linear hedges algebras (LinHAs). It is interesting that in LinHAs, a formal notion of fuzziness measure of linguistic hedges and terms can be defined in a reasonable way, bas...

متن کامل

Fuzzy Sets in Approximate Reasoning: A Personal View

Fuzzy set-based methods contribute to the formalization of different types of approximate reasoning, mainly in two ways. First, when modeling classes and properties, fuzzy sets naturally encode gradual properties, such as, e.g., 'large', whose satisfaction is a matter of degree and may be only partial for particular instances. Due to this ability, fuzzy sets are naturally entitled to capture in...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005