A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System

The principle of ratios has been applied to many real world problems, e.g. the part-to-part and part-to-whole ratio formulations. As it is difficult for humans to provide an exact ratio in many real situations, we introduce a fuzzy ratio in this paper. We use some notions from fuzzy arithmetic to a...

Full description

Bibliographic Details
Main Authors: Chian, Haur Jong, Kai, Meng Tay, Chee, Peng Lim
Format: Article
Language:English
Published: IEEE 2014
Subjects:
Online Access:http://ir.unimas.my/id/eprint/5180/
http://ir.unimas.my/id/eprint/5180/1/Chian%20Haur%20Jong.pdf
_version_ 1848835601248288768
author Chian, Haur Jong
Kai, Meng Tay
Chee, Peng Lim
author_facet Chian, Haur Jong
Kai, Meng Tay
Chee, Peng Lim
author_sort Chian, Haur Jong
building UNIMAS Institutional Repository
collection Online Access
description The principle of ratios has been applied to many real world problems, e.g. the part-to-part and part-to-whole ratio formulations. As it is difficult for humans to provide an exact ratio in many real situations, we introduce a fuzzy ratio in this paper. We use some notions from fuzzy arithmetic to analyze fuzzy ratios captured from humans. An application of the formulated fuzzy ratio to a Single Input Rule Modules connected Fuzzy Inference System (SIRMs-FIS) is demonstrated. Instead of using a precise weight, fuzzy sets are employed to represent the relative importance of each rule module. The resulting fuzzy weights are explained as a fuzzy ratio on a weight domain. In addition, a new SIRMs-FIS model with fuzzy weights and part-to-whole fuzzy ratio is devised. A simulated example is presented to clarify the proposed SIRM-FIS model.
first_indexed 2025-11-15T06:10:28Z
format Article
id unimas-5180
institution Universiti Malaysia Sarawak
institution_category Local University
language English
last_indexed 2025-11-15T06:10:28Z
publishDate 2014
publisher IEEE
recordtype eprints
repository_type Digital Repository
spelling unimas-51802021-06-26T14:23:12Z http://ir.unimas.my/id/eprint/5180/ A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System Chian, Haur Jong Kai, Meng Tay Chee, Peng Lim TA Engineering (General). Civil engineering (General) The principle of ratios has been applied to many real world problems, e.g. the part-to-part and part-to-whole ratio formulations. As it is difficult for humans to provide an exact ratio in many real situations, we introduce a fuzzy ratio in this paper. We use some notions from fuzzy arithmetic to analyze fuzzy ratios captured from humans. An application of the formulated fuzzy ratio to a Single Input Rule Modules connected Fuzzy Inference System (SIRMs-FIS) is demonstrated. Instead of using a precise weight, fuzzy sets are employed to represent the relative importance of each rule module. The resulting fuzzy weights are explained as a fuzzy ratio on a weight domain. In addition, a new SIRMs-FIS model with fuzzy weights and part-to-whole fuzzy ratio is devised. A simulated example is presented to clarify the proposed SIRM-FIS model. IEEE 2014 Article PeerReviewed text en http://ir.unimas.my/id/eprint/5180/1/Chian%20Haur%20Jong.pdf Chian, Haur Jong and Kai, Meng Tay and Chee, Peng Lim (2014) A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System. 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).
spellingShingle TA Engineering (General). Civil engineering (General)
Chian, Haur Jong
Kai, Meng Tay
Chee, Peng Lim
A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System
title A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System
title_full A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System
title_fullStr A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System
title_full_unstemmed A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System
title_short A New Fuzzy Ratio and Its Application to the Single Input Rule Modules Connected Fuzzy Inference System
title_sort new fuzzy ratio and its application to the single input rule modules connected fuzzy inference system
topic TA Engineering (General). Civil engineering (General)
url http://ir.unimas.my/id/eprint/5180/
http://ir.unimas.my/id/eprint/5180/1/Chian%20Haur%20Jong.pdf