Expert Systems with Applications: An International Journal
On the use of fuzzy inference techniques in assessment models: part I--theoretical properties
Fuzzy Optimization and Decision Making
Fuzzy Interpolative Reasoning Using Interval Type-2 Fuzzy Sets
IEA/AIE '08 Proceedings of the 21st international conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems: New Frontiers in Applied Artificial Intelligence
Piecewise parametric polynomial fuzzy sets
International Journal of Approximate Reasoning
Fuzzy qualitative trigonometry
International Journal of Approximate Reasoning
Fuzzy Sets and Rough Sets for Scenario Modelling and Analysis
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Towards adaptive interpolative reasoning
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Preserving piece-wise linearity in fuzzy interpolation
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
An extended fuzzy logic system for uncertainty modelling
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Fuzzy interpolative reasoning via cutting and transformations techniques
IEA/AIE'07 Proceedings of the 20th international conference on Industrial, engineering, and other applications of applied intelligent systems
A new fuzzy interpolative reasoning method for sparse fuzzy rule-based systems
IEA/AIE'07 Proceedings of the 20th international conference on Industrial, engineering, and other applications of applied intelligent systems
Expert Systems with Applications: An International Journal
Weighted fuzzy interpolative reasoning for sparse fuzzy rule-based systems
Expert Systems with Applications: An International Journal
A fuzzy inference system-based criterion-referenced assessment model
Expert Systems with Applications: An International Journal
Expert Systems with Applications: An International Journal
Fuzzy rule interpolation based on the ratio of fuzziness of interval type-2 fuzzy sets
Expert Systems with Applications: An International Journal
The design and implementation of a competency-based intelligent mobile learning system
Expert Systems with Applications: An International Journal
Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on the slopes of fuzzy sets
Expert Systems with Applications: An International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Hybrid approaches for approximate reasoning
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Interpolative reasoning does not only help reduce the complexity of fuzzy models but also makes inference in sparse rule-based systems possible. This paper presents an interpolative reasoning method by means of scale and move transformations. It can be used to interpolate fuzzy rules involving complex polygon, Gaussian or other bell-shaped fuzzy membership functions. The method works by first constructing a new inference rule via manipulating two given adjacent rules, and then by using scale and move transformations to convert the intermediate inference results into the final derived conclusions. This method has three advantages thanks to the proposed transformations: 1) it can handle interpolation of multiple antecedent variables with simple computation; 2) it guarantees the uniqueness as well as normality and convexity of the resulting interpolated fuzzy sets; and 3) it suggests a variety of definitions for representative values, providing a degree of freedom to meet different requirements. Comparative experimental studies are provided to demonstrate the potential of this method