Use of Intuitionistic Fuzzy Numbers in Survey Sampling Analysis with Application in Electronic Data Interchange

The validity of survey sampling depends on how precise the data is. The validity reduces when questionnaire contains linguistic variables and respondent has to answer in zero or one. The ambiguity in the respondent’s mind can be minimized by getting a response in an intuitionistic fuzzy sense. In th...

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Main Authors: Farah Rasheed, Sajida Kousar, Javid Shabbir, Nasreen Kausar, Dragan Pamucar, Yaé Ulrich Gaba
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/9989477
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author Farah Rasheed
Sajida Kousar
Javid Shabbir
Nasreen Kausar
Dragan Pamucar
Yaé Ulrich Gaba
author_facet Farah Rasheed
Sajida Kousar
Javid Shabbir
Nasreen Kausar
Dragan Pamucar
Yaé Ulrich Gaba
author_sort Farah Rasheed
collection DOAJ
description The validity of survey sampling depends on how precise the data is. The validity reduces when questionnaire contains linguistic variables and respondent has to answer in zero or one. The ambiguity in the respondent’s mind can be minimized by getting a response in an intuitionistic fuzzy sense. In this study, we proposed intuitionistic fuzzy aggregative investment benefit rate to select the best manufacturing facility location, where respondents expressed both membership function and nonmembership function for linguistic variables, with some hesitancy level, and give significant improvement over the fuzzy assessment method. The proposed methodology is also verified at different hesitancy levels and recommended to use a small hesitancy level. Real-life example of the use of electronic data interchange (EDI) in Pakistan’s different fields, such as business, commerce, transport, airlines, warehousing, and logistic and delivery industry, is used to support the proposed methodology. Thus, an intuitionistic fuzzy rate reduces the cost, time, and effort of survey sampling instead of taking and analyzing responses from large samples.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2021-01-01
publisher Wiley
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series Complexity
spelling doaj-art-c08fb43525cb43e38be4f2ff67e08c222025-02-03T06:10:45ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99894779989477Use of Intuitionistic Fuzzy Numbers in Survey Sampling Analysis with Application in Electronic Data InterchangeFarah Rasheed0Sajida Kousar1Javid Shabbir2Nasreen Kausar3Dragan Pamucar4Yaé Ulrich Gaba5Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, PakistanDepartment of Statistics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Esenler, 34210 Istanbul, TurkeyDepartment of Logistics, University of Defence in Belgrade, Belgrade, SerbiaQuantum Leap Africa (QLA), AIMS Rwanda Center, Remera Sector KN 3, Kigali, RwandaThe validity of survey sampling depends on how precise the data is. The validity reduces when questionnaire contains linguistic variables and respondent has to answer in zero or one. The ambiguity in the respondent’s mind can be minimized by getting a response in an intuitionistic fuzzy sense. In this study, we proposed intuitionistic fuzzy aggregative investment benefit rate to select the best manufacturing facility location, where respondents expressed both membership function and nonmembership function for linguistic variables, with some hesitancy level, and give significant improvement over the fuzzy assessment method. The proposed methodology is also verified at different hesitancy levels and recommended to use a small hesitancy level. Real-life example of the use of electronic data interchange (EDI) in Pakistan’s different fields, such as business, commerce, transport, airlines, warehousing, and logistic and delivery industry, is used to support the proposed methodology. Thus, an intuitionistic fuzzy rate reduces the cost, time, and effort of survey sampling instead of taking and analyzing responses from large samples.http://dx.doi.org/10.1155/2021/9989477
spellingShingle Farah Rasheed
Sajida Kousar
Javid Shabbir
Nasreen Kausar
Dragan Pamucar
Yaé Ulrich Gaba
Use of Intuitionistic Fuzzy Numbers in Survey Sampling Analysis with Application in Electronic Data Interchange
Complexity
title Use of Intuitionistic Fuzzy Numbers in Survey Sampling Analysis with Application in Electronic Data Interchange
title_full Use of Intuitionistic Fuzzy Numbers in Survey Sampling Analysis with Application in Electronic Data Interchange
title_fullStr Use of Intuitionistic Fuzzy Numbers in Survey Sampling Analysis with Application in Electronic Data Interchange
title_full_unstemmed Use of Intuitionistic Fuzzy Numbers in Survey Sampling Analysis with Application in Electronic Data Interchange
title_short Use of Intuitionistic Fuzzy Numbers in Survey Sampling Analysis with Application in Electronic Data Interchange
title_sort use of intuitionistic fuzzy numbers in survey sampling analysis with application in electronic data interchange
url http://dx.doi.org/10.1155/2021/9989477
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