Interval type‑2 fuzzy aggregation operator in decision making and its application

Type-2 fuzzy sets (T2FSs) can deal with higher modeling and uncertainties which exist in the real-world application, specifically in the control systems. Particularly the climate changes are always uncertain and thus, the type-2 fuzzy controller is an effective system to handle those situations. P...

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Main Authors: Lathamaheswari, M., Nagarajan, D., Kavikumar, J., Broumi, Said
Format: Article
Language:English
Published: 2021
Subjects:
Online Access:http://eprints.uthm.edu.my/1813/1/J12113_fbbf122923804efda2dc968c8ee185a1.pdf
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author Lathamaheswari, M.
Nagarajan, D.
Kavikumar, J.
Broumi, Said
author_facet Lathamaheswari, M.
Nagarajan, D.
Kavikumar, J.
Broumi, Said
author_sort Lathamaheswari, M.
collection UTHM
description Type-2 fuzzy sets (T2FSs) can deal with higher modeling and uncertainties which exist in the real-world application, specifically in the control systems. Particularly the climate changes are always uncertain and thus, the type-2 fuzzy controller is an effective system to handle those situations. Polyhouse is a methodology used to cultivate the plants. It breaks the seasonal hurdle of the formulation and it is also suitable for the conflictive climate conditions. Controlling and directing internal parameters of the polyhouse play an essential role in the growth of the plant. Among those, humidity is an important element when one deals with the growth of the plant in polyhouse. It affects the weather, as well as the global change of the climate and hence, the inner climate of the polyhouse will be disturbed. In this paper, operational laws for triangular interval type-2 fuzzy numbers and derived triangular interval type-2 weighted geometric (TIT2WG) operator with their desired mathematical properties using Dombi triangular norms. Also, humidity control is analyzed using interval type-2 fuzzy controller (IT2FC) with the use of derived aggregation operator which is the aim of the paper. Further stability of the system has been analyzed by applying four different defuzzification methods and the method is recommended which gives a better response.
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spelling uthm.eprints-18132021-10-18T03:27:40Z http://eprints.uthm.edu.my/1813/ Interval type‑2 fuzzy aggregation operator in decision making and its application Lathamaheswari, M. Nagarajan, D. Kavikumar, J. Broumi, Said QA71-90 Instruments and machines Type-2 fuzzy sets (T2FSs) can deal with higher modeling and uncertainties which exist in the real-world application, specifically in the control systems. Particularly the climate changes are always uncertain and thus, the type-2 fuzzy controller is an effective system to handle those situations. Polyhouse is a methodology used to cultivate the plants. It breaks the seasonal hurdle of the formulation and it is also suitable for the conflictive climate conditions. Controlling and directing internal parameters of the polyhouse play an essential role in the growth of the plant. Among those, humidity is an important element when one deals with the growth of the plant in polyhouse. It affects the weather, as well as the global change of the climate and hence, the inner climate of the polyhouse will be disturbed. In this paper, operational laws for triangular interval type-2 fuzzy numbers and derived triangular interval type-2 weighted geometric (TIT2WG) operator with their desired mathematical properties using Dombi triangular norms. Also, humidity control is analyzed using interval type-2 fuzzy controller (IT2FC) with the use of derived aggregation operator which is the aim of the paper. Further stability of the system has been analyzed by applying four different defuzzification methods and the method is recommended which gives a better response. 2021 Article PeerReviewed text en http://eprints.uthm.edu.my/1813/1/J12113_fbbf122923804efda2dc968c8ee185a1.pdf Lathamaheswari, M. and Nagarajan, D. and Kavikumar, J. and Broumi, Said (2021) Interval type‑2 fuzzy aggregation operator in decision making and its application. Complex & Intelligent Systems. https://doi.org/10.1007/s40747-021-00287-z
spellingShingle QA71-90 Instruments and machines
Lathamaheswari, M.
Nagarajan, D.
Kavikumar, J.
Broumi, Said
Interval type‑2 fuzzy aggregation operator in decision making and its application
title Interval type‑2 fuzzy aggregation operator in decision making and its application
title_full Interval type‑2 fuzzy aggregation operator in decision making and its application
title_fullStr Interval type‑2 fuzzy aggregation operator in decision making and its application
title_full_unstemmed Interval type‑2 fuzzy aggregation operator in decision making and its application
title_short Interval type‑2 fuzzy aggregation operator in decision making and its application
title_sort interval type 2 fuzzy aggregation operator in decision making and its application
topic QA71-90 Instruments and machines
url http://eprints.uthm.edu.my/1813/1/J12113_fbbf122923804efda2dc968c8ee185a1.pdf
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AT broumisaid intervaltype2fuzzyaggregationoperatorindecisionmakinganditsapplication