Type-Reduction of General Type-2 Fuzzy Sets: The Type-1 OWA Approach

2013 ◽  
Vol 28 (5) ◽  
pp. 505-522 ◽  
Author(s):  
Francisco Chiclana ◽  
Shang-Ming Zhou
Keyword(s):  
Fuzzy Sets ◽  
General Type ◽  
Type Reduction

An improved general type-2 fuzzy sets type reduction and its application in general type-2 fuzzy controller design

2019 ◽  
Vol 23 (24) ◽  
pp. 13513-13530
Author(s):  
Shi Jianzhong ◽  
Liang Shaohua ◽  
Yang Yong ◽  
Li Rong
Keyword(s):  
Fuzzy Sets ◽  
General Type ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Type Reduction

scholarly journals Type-2 Fuzzy Logic in Pair Formation

2018 ◽  
Vol 10 (1) ◽  
pp. 94
Author(s):  
Lakshmi Shrinivasan ◽  
J. l R. Rao
Keyword(s):  
Fuzzy Logic ◽  
Fuzzy Sets ◽  
Ground Truth ◽  
Fuzzy Logic System ◽  
Pair Formation ◽  
Type Reduction ◽  
And Performance ◽  
Logic System

<span>This paper gives an overview of Type-2 Fuzzy sets (T2FSs) and Type-2 fuzzy Logic system (T2FLS) considering one aviation scenario. The existing type-1 Fuzzy system has limited capability to handle the uncertainty directly. In order to overcome the limitations of Type-1 fuzzy Logic system (T1FLS), a next level of fuzzy set is introduced, that is known as T2FSs. Here we will discuss about: Type-2 fuzzy sets, type-2 membership functions, inference engine, type reduction and defuzzification. Pair formation is the undertaken aviation scenario which is very critical in a fighting situation. Crisp data are taken by the sensors of aircraft and with the techniques of data fusion, a constant decision is passed whether two aircrafts can achieve pair formation or not. Experiments are evaluated and performance is compared with ground truth and existing T1FLS, which proves better in terms of decision making while a certain amount of uncertainty is present</span>.

An interval type-2 hesitant fuzzy best-worst method

2021 ◽  
pp. 1-28
Author(s):  
Ashraf Norouzi ◽  
Hossein Razavi hajiagha
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Group Decision Making ◽  
Group Decision ◽  
Fuzzy Ahp ◽  
Uncertain Data ◽  
Interval Type ◽  
Best Worst Method

Multi criteria decision-making problems are usually encounter implicit, vague and uncertain data. Interval type-2 fuzzy sets (IT2FS) are widely used to develop various MCDM techniques especially for cases with uncertain linguistic approximation. However, there are few researches that extend IT2FS-based MCDM techniques into qualitative and group decision-making environment. The present study aims to adopt a combination of hesitant and interval type-2 fuzzy sets to develop an extension of Best-Worst method (BWM). The proposed approach provides a flexible and convenient way to depict the experts’ hesitant opinions especially in group decision-making context through a straightforward procedure. The proposed approach is called IT2HF-BWM. Some numerical case studies from literature have been used to provide illustrations about the feasibility and effectiveness of our proposed approach. Besides, a comparative analysis with an interval type-2 fuzzy AHP is carried out to evaluate the results of our proposed approach. In each case, the consistency ratio was calculated to determine the reliability of results. The findings imply that the proposed approach not only provides acceptable results but also outperforms the traditional BWM and its type-1 fuzzy extension.

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