A new fuzzy criterion-referenced assessment with a fuzzy rule selection technique and a monotonicity-preserving similarity reasoning scheme

  • Authors:
  • Tze Ling Jee;Kai Meng Tay;Chee Khoon Ng

  • Affiliations:
  • Faculty of Engineering, Universiti Malaysia Sarawak, Kota Samarahan, Sarawak, Malaysia;Faculty of Engineering, Universiti Malaysia Sarawak, Kota Samarahan, Sarawak, Malaysia;Faculty of Engineering, Universiti Malaysia Sarawak, Kota Samarahan, Sarawak, Malaysia

  • Venue:
  • Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Computational intelligence models for image processing and information reasoning
  • Year:
  • 2013

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Abstract

The use of a Fuzzy Inference System FIS as a part of Criterion-referenced Assessment CRA is not new. Nevertheless, there are several limitations in combining FIS models and CRA, as follows. i It is difficult to maintain the monotonicity property of the FIS-based CRA model; ii it is difficult and impractical to form a complete fuzzy rule base when the number of required rules is large, and iii reducing fuzzy rules may cause the “tomato classification” problem. In this paper, a practical solution to overcome these limitations is provided. We adopt the sufficient conditions i.e., a mathematical foundation as a set of governing equations for designing fuzzy membership functions and fuzzy rules to preserve the monotonicity property. In this paper, our works in [21] is extended and a new procedure that comprises of the sufficient conditions, fuzzy rule reduction and a monotonicity-preserving similarity reasoning SR is proposed. The new framework reduces the number of fuzzy rules gathered from an assessor i.e., selected rules with a proposed fuzzy rule selection approach. Selected rules are identified in such that the unselected rules can be deduced via a monotonicity-preserving SR technique. We formulate the process of minimizing the number of selected rules as a constrained optimization problem and a genetic algorithm GA technique is implemented. Unselected rules are predicted with a proposed monotonicity-preserving SR scheme. The proposed approach contributes to a solution to reduce the number of fuzzy rules to be gathered from an assessor while maintaining the monotonicity property. Besides, this paper also contributes to a new application of SR in education assessment. The proposed approach is evaluated with a case study relating to a lab assessment in Universiti Malaysia Sarawak UNIMAS.