Abstract
The process capability analysis aims at measuring the capability degree of the process distribution in meeting the specification limits. Process capability indices are used to indicate the capability degree of a process. A process whose distribution falls inside the specification limits is a capable process and its capability indices are at least 1. In case of vague and imprecise information, process capability analyses have been extended by using ordinary fuzzy sets in the literature. In this paper we extend the fuzzy process capability analysis from ordinary fuzzy sets to intuitionistic fuzzy sets. We realize this extension by using both intuitionistic fuzzy numbers and interval-valued intuitionistic fuzzy sets. We also propose defuzzification methods for intuitionistic fuzzy numbers and interval-valued intuitionistic fuzzy sets. Numerical examples show the applications of the proposed analyses and help the readers understand them.
| Original language | English |
|---|---|
| Pages (from-to) | 1659-1671 |
| Number of pages | 13 |
| Journal | Journal of Intelligent and Fuzzy Systems |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2017 |
Bibliographical note
Publisher Copyright:© 2017 IOS Press and the authors. All rights reserved.
Keywords
- Defuzzification
- Fuzzy number
- Fuzzy set
- Interval-valued
- Intuitionistic
- Process capability