Inclusion-Based Approximate Reasoning
نویسندگان
چکیده
We present a kind of fuzzy reasoning, dependent on a measure of fulfilment of the antecedent clause, that captures all the expressiveness of the traditional approximate reasoning methodology based on the Compositional Rule of Inference (CRI) and at the same time rules out a good deal of its inherent complexity. We also argue why this approach offers a more genuine solution to the implementation of analogical reasoning than the classically proposed similarity measures.
منابع مشابه
PROPERTY 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 کاملApproximate Reasoning in MAS: Rough Set Approach Extended Abstract
In modeling multiagent systems for real-life problems, techniques for approximate reasoning about vague concepts and dependencies (ARVCD) are necessary. We discuss an approach to approximate reasoning based on rough sets. In particular, we present a number of basic concepts such as approximation spaces, concept approximation, rough inclusion, construction of information granules in calculi of i...
متن کاملIndicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets
We begin the paper studying the axioms that the indicators of the grade of inclusion of a fuzzy set in another fuzzy set must satisfy. Next, we present an expression of such indicator, ®rst for fuzzy sets and then for interval-valued fuzzy sets, analyzing in both cases their main properties. Then, we suggest an expression for the similarity measure between interval-valued fuzzy sets. Besides, w...
متن کاملEfficient Approximate Reasoning with Positive and Negative Information
Starting from the generic pattern of the Generalized Modus Ponens, we develop an efficient yet expressive quantitative model of approximate reasoning that tries to combine “the best of different worlds”; following a recent trend, we make a distinction between positive or observed (“guaranteed”) fuzzy rules on one hand, and negative or restricting ones on the other hand, which allows to mend som...
متن کاملApproximate Reasoning about Complex Objects in Distributed Systems: Rough Mereological Formalization ?
We propose an approach to approximate reasoning by systems of intelligent agents based on the paradigm of rough mereology. In this approach, the knowledge of each agent is formalized as an information system (a data table) from which similarity measures on objects manipulated by this agent are inferred. These similarity measures are based on rough mereological inclusions which formally render d...
متن کامل