Inverted Fuzzy Implications in Approximate Reasoning
نویسندگان
چکیده
In this paper, we propose a new method for choosing implications. Our method allows to compare two fuzzy implications. If the truth value of the antecedent and the truth value of the implication are given, by means of inverse fuzzy implications we can easily optimize the truth value of the implication consequent.
منابع مشابه
Similarity based approximate reasoning: fuzzy control
This paper presents an approach to similarity based approximate reasoning that elucidates the connection between similarity and existing approaches to inference in approximate reasoning methodology. A set of axioms is proposed to get a reasonable measure of similarity between two fuzzy sets. The similarity between the fact(s) and the antecedent of a rule is used to modify the relation between t...
متن کاملPROPERTY ANALYSIS OF TRIPLE IMPLICATION METHOD FOR APPROXIMATE REASONING ON ATANASSOVS INTUITIONISTIC FUZZY SETS
Firstly, two kinds of natural distances between intuitionistic fuzzy sets are generated by the classical natural distance between fuzzy sets under a unified framework of residual intuitionistic implication operators. Secondly, the continuity and approximation property of a method for solving intuitionistic fuzzy reasoning are defined. It is proved that the triple implication method for intuitio...
متن کاملInverted Fuzzy Implications in Backward Reasoning Without Yager Implication
One of the most popular methods of knowledge representation are the fuzzy rules. One of the ways of representation of fuzzy rules is the functional representation. From over eight decades a number of different fuzzy implications have been described, e.g. [5]-[9]. This leads to the following question: how to choose the proper function among basic fuzzy implications. This paper is a continuation ...
متن کاملUniversal Approximation of Interval-valued Fuzzy Systems Based on Interval-valued Implications
It is firstly proved that the multi-input-single-output (MISO) fuzzy systems based on interval-valued $R$- and $S$-implications can approximate any continuous function defined on a compact set to arbitrary accuracy. A formula to compute the lower upper bounds on the number of interval-valued fuzzy sets needed to achieve a pre-specified approximation accuracy for an arbitrary multivariate con...
متن کاملFuzzy Measure Based Approximate Reasoning with Distance-based Operators
In the paper a distance based operators based approximate reasoning method is represented, applying fuzzy measure. Distance based operators satisfy most of properties as generally defined parametrical operators. Based on this the possible relationship with the integrals based on fuzzy measures is introduced. It can be shown, that the reason used for fuzzy integral introduction is similar to the...
متن کامل