Approximate reasoning with aggregation functions satisfying GMP rules

  title={Approximate reasoning with aggregation functions satisfying GMP rules},
  author={Dechao Li and Qingxue Zeng},
  journal={Artificial Intelligence Review},
To strengthen the effectiveness of approximate reasoning in fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) problems, three approximate reasoning methods with aggregation functions are developed and their validity are investigated respectively in this paper. We firstly study some properties of fuzzy implication generated by an aggregation function. And then present an A -compositional rule of inference as an extension of Zadeh’s CRI replacing t -norm by aggregation function. The… 

Modus ponens and modus tollens for the compositional rule of inference with aggregation functions

This paper investigates the validity of ACRI method from a logical view and an interpolative view and discusses the modus ponens (MP) and modus tollens (MT) properties of ACri method based on well-known fuzzy implications with aggregation functions.

MISO hierarchical inference engine with fuzzy implication satisfying I(A(x, y), z) = I(x, I(y, z))

This paper aims mainly to investigate three MISO fuzzy hierarchial inference engines based on fuzzy implications satisfying the law of importation with aggregation functions (LIA), and to construct three fuzzy hierarchical inference engines in M ISO fuzzy systems applying aforementioned theoretical developments.



The Quintuple Implication Principle of fuzzy reasoning

A Survey on Fuzzy Implication Functions

This paper aims to present an overview on fuzzy implication functions that usually are constructed from t-norms and t-conorms but also from other kinds of aggregation operators.

On Similarity-based Approximate Reasoning in Interval-valued Fuzzy Environments

This paper proposes a novel approach to similarity-based approximate reasoning in an interval-valued fuzzy environment and uses two examples of shipbuilding processing to illustrate and validate the effectiveness of the proposed schema.

Fuzzy modus ponens: A new model suitable for applications in knowledge‐based systems

This work proposes a new model for fuzzy Modus Ponens, to find a fuzzy extension of the meta‐level rule of inference, in comparison with the object‐level Extension of the disjunctive syllogism such as the Zadeh's model.

Performance analysis of fuzzy systems based on quintuple implications method

On some new classes of implication operators and their role in approximate reasoning

Nonstandard conjunctions and implications in fuzzy logic

An approximate analogical reasoning approach based on similarity measures

An approximate analogical reasoning schema (AARS) which exhibits the advantages of fuzzy set theory and analogical Reasoning in expert systems development is described and is compared with conventional expert systems and existing fuzzy expert systems.

A new approach to approximate reasoning using a fuzzy logic

Unified full implication algorithms of fuzzy reasoning

  • D. Pei
  • Computer Science
    Inf. Sci.
  • 2008