A Monotonicity Index for the Monotone Fuzzy Modeling Problem
In this paper, the problem of maintaining the (global) monotonicity and local monotonicity properties between the input(s) and the output of an FIS model is addressed. This is known as the monotone fuzzy modeling problem. In our previous work, this problem has been tackled by developing some mathema...
| Main Authors: | , , , |
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| Format: | Proceeding |
| Language: | English |
| Published: |
IEEE
2012
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| Online Access: | http://ir.unimas.my/id/eprint/2729/ http://ir.unimas.my/id/eprint/2729/1/login.jsp_reason%3DnotIncluded%26url%3Dhttp_%252F%252Fieeexplore.ieee.org%252FXplore%252Ferror.jsp |
| _version_ | 1848835054815412224 |
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| author | Kai, M.T Chee, P.L Chin, Y.T See , H.L |
| author_facet | Kai, M.T Chee, P.L Chin, Y.T See , H.L |
| author_sort | Kai, M.T |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| description | In this paper, the problem of maintaining the (global) monotonicity and local monotonicity properties between the input(s) and the output of an FIS model is addressed. This is known as the monotone fuzzy modeling problem. In our previous work, this problem has been tackled by developing some mathematical conditions for an FIS model to observe the monotonicity property. These mathematical conditions are used as a set of governing equations for undertaking FIS modeling problems, and have been extended to some advanced FIS modeling techniques. Here, we examine an alternative to the monotone fuzzy modeling problem by introducing a monotonicity index. The monotonicity index is employed as an approximate indicator to measure the fulfillment of an FIS model to the monotonicity property. It allows the FIS model to be constructed using an optimization method, or be tuned to achieve a better performance, without knowing the exact mathematical conditions of the FIS model to satisfy the monotonicity property. Besides, the monotonicity index can be extended to FIS modeling that involves the local monotonicity problem. We also analyze the relationship between the FIS model and its monotonicity property fulfillment, as well as derived mathematical conditions, using the Monte Carlo method. |
| first_indexed | 2025-11-15T06:01:46Z |
| format | Proceeding |
| id | unimas-2729 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T06:01:46Z |
| publishDate | 2012 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-27292015-03-24T00:48:49Z http://ir.unimas.my/id/eprint/2729/ A Monotonicity Index for the Monotone Fuzzy Modeling Problem Kai, M.T Chee, P.L Chin, Y.T See , H.L QA Mathematics QA75 Electronic computers. Computer science In this paper, the problem of maintaining the (global) monotonicity and local monotonicity properties between the input(s) and the output of an FIS model is addressed. This is known as the monotone fuzzy modeling problem. In our previous work, this problem has been tackled by developing some mathematical conditions for an FIS model to observe the monotonicity property. These mathematical conditions are used as a set of governing equations for undertaking FIS modeling problems, and have been extended to some advanced FIS modeling techniques. Here, we examine an alternative to the monotone fuzzy modeling problem by introducing a monotonicity index. The monotonicity index is employed as an approximate indicator to measure the fulfillment of an FIS model to the monotonicity property. It allows the FIS model to be constructed using an optimization method, or be tuned to achieve a better performance, without knowing the exact mathematical conditions of the FIS model to satisfy the monotonicity property. Besides, the monotonicity index can be extended to FIS modeling that involves the local monotonicity problem. We also analyze the relationship between the FIS model and its monotonicity property fulfillment, as well as derived mathematical conditions, using the Monte Carlo method. IEEE 2012 Proceeding NonPeerReviewed text en http://ir.unimas.my/id/eprint/2729/1/login.jsp_reason%3DnotIncluded%26url%3Dhttp_%252F%252Fieeexplore.ieee.org%252FXplore%252Ferror.jsp Kai, M.T and Chee, P.L and Chin, Y.T and See , H.L (2012) A Monotonicity Index for the Monotone Fuzzy Modeling Problem. In: WCCI 2012 IEEE World Congress on Computational Intelligence June, 10-15, 2012 , Brisbane, Australia, pp. 456-463.. |
| spellingShingle | QA Mathematics QA75 Electronic computers. Computer science Kai, M.T Chee, P.L Chin, Y.T See , H.L A Monotonicity Index for the Monotone Fuzzy Modeling Problem |
| title | A Monotonicity Index for the Monotone Fuzzy Modeling Problem |
| title_full | A Monotonicity Index for the Monotone Fuzzy Modeling Problem |
| title_fullStr | A Monotonicity Index for the Monotone Fuzzy Modeling Problem |
| title_full_unstemmed | A Monotonicity Index for the Monotone Fuzzy Modeling Problem |
| title_short | A Monotonicity Index for the Monotone Fuzzy Modeling Problem |
| title_sort | monotonicity index for the monotone fuzzy modeling problem |
| topic | QA Mathematics QA75 Electronic computers. Computer science |
| url | http://ir.unimas.my/id/eprint/2729/ http://ir.unimas.my/id/eprint/2729/1/login.jsp_reason%3DnotIncluded%26url%3Dhttp_%252F%252Fieeexplore.ieee.org%252FXplore%252Ferror.jsp |