Some T-Spherical Fuzzy Einstein Interactive Aggregation Operators and Their Application to Selection of Photovoltaic Cells
In this article, it is pointed out that the existing intuitionistic fuzzy and T-spherical fuzzy Einstein averaging and geometric operators have some limitations. To overcome these limitations, we proposed some new averaging and geometric operators in the T-spherical fuzzy environment instead of the...
Gespeichert in:
Veröffentlicht in: | Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-16 |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 16 |
---|---|
container_issue | 2020 |
container_start_page | 1 |
container_title | Mathematical problems in engineering |
container_volume | 2020 |
creator | Naeem, Muhammad Mahmood, Tahir Munir, Muhammad Zeng, Shouzhen |
description | In this article, it is pointed out that the existing intuitionistic fuzzy and T-spherical fuzzy Einstein averaging and geometric operators have some limitations. To overcome these limitations, we proposed some new averaging and geometric operators in the T-spherical fuzzy environment instead of the intuitionistic fuzzy environment because the T-spherical fuzzy set is the most generalized form and the proposed operators can be particularized to the intuitionistic fuzzy environment. First, new operational laws for T-spherical fuzzy information are defined, on the basis of which Einstein geometric interaction operators and Einstein averaging interactive aggregation operators are then proposed. Some basic properties and advantages of proposed aggregation operators are also discussed. Moreover, the proposed operators are applied to the MADM problem to check their reliability. The superiority of the proposed operators over existing work is checked with the help of an example. |
doi_str_mv | 10.1155/2020/1904362 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2415217595</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2415217595</sourcerecordid><originalsourceid>FETCH-LOGICAL-c360t-99f46e854adcdfe386b86e491b4a560f489b51281940828ea4afcf93e1feeba53</originalsourceid><addsrcrecordid>eNqF0M9LwzAUB_AiCs7pzbMEPGpdXpp0zXGMTQeDCZvgrWTdy5bRNTXJlO2vt_sBHj3lJfnwHu8bRfdAXwCE6DDKaAck5UnKLqIWiDSJBfDuZVNTxmNgyed1dOP9mlIGArJWtJ_aDZJZPK1X6EyhSjLc7vc7MjCVD2gqMqoCOlUE842kt1w6XKpgbEUmdfMcrPNEVQsyW6FxpFfXZdPj-B8smWKJxfFiNXlf2WC_bRmUKUgfy9LfRldalR7vzmc7-hgOZv23eDx5HfV747hIUhpiKTVPMRNcLYqFxiRL51mKXMKcK5FSzTM5F8AykJxmLEPFlS60TBA04lyJpB09nvrWzn5t0Yd8bbeuakbmjINg0BXyoJ5PqnDWe4c6r53ZKLfLgeaHdPNDuvk53YY_nfjKVAv1Y_7TDyeNjUGt_jTIZslu8gv0YoUB</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2415217595</pqid></control><display><type>article</type><title>Some T-Spherical Fuzzy Einstein Interactive Aggregation Operators and Their Application to Selection of Photovoltaic Cells</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>Wiley Online Library Open Access</source><source>Alma/SFX Local Collection</source><creator>Naeem, Muhammad ; Mahmood, Tahir ; Munir, Muhammad ; Zeng, Shouzhen</creator><contributor>Yang, Zaoli ; Zaoli Yang</contributor><creatorcontrib>Naeem, Muhammad ; Mahmood, Tahir ; Munir, Muhammad ; Zeng, Shouzhen ; Yang, Zaoli ; Zaoli Yang</creatorcontrib><description>In this article, it is pointed out that the existing intuitionistic fuzzy and T-spherical fuzzy Einstein averaging and geometric operators have some limitations. To overcome these limitations, we proposed some new averaging and geometric operators in the T-spherical fuzzy environment instead of the intuitionistic fuzzy environment because the T-spherical fuzzy set is the most generalized form and the proposed operators can be particularized to the intuitionistic fuzzy environment. First, new operational laws for T-spherical fuzzy information are defined, on the basis of which Einstein geometric interaction operators and Einstein averaging interactive aggregation operators are then proposed. Some basic properties and advantages of proposed aggregation operators are also discussed. Moreover, the proposed operators are applied to the MADM problem to check their reliability. The superiority of the proposed operators over existing work is checked with the help of an example.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2020/1904362</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Accuracy ; Agglomeration ; Aggregates ; Algorithms ; Decision making ; Fuzzy logic ; Fuzzy sets ; Operators ; Photovoltaic cells</subject><ispartof>Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-16</ispartof><rights>Copyright © 2020 Shouzhen Zeng et al.</rights><rights>Copyright © 2020 Shouzhen Zeng et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-99f46e854adcdfe386b86e491b4a560f489b51281940828ea4afcf93e1feeba53</citedby><cites>FETCH-LOGICAL-c360t-99f46e854adcdfe386b86e491b4a560f489b51281940828ea4afcf93e1feeba53</cites><orcidid>0000-0002-3871-3845 ; 0000-0002-3604-0843</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,4010,27904,27905,27906</link.rule.ids></links><search><contributor>Yang, Zaoli</contributor><contributor>Zaoli Yang</contributor><creatorcontrib>Naeem, Muhammad</creatorcontrib><creatorcontrib>Mahmood, Tahir</creatorcontrib><creatorcontrib>Munir, Muhammad</creatorcontrib><creatorcontrib>Zeng, Shouzhen</creatorcontrib><title>Some T-Spherical Fuzzy Einstein Interactive Aggregation Operators and Their Application to Selection of Photovoltaic Cells</title><title>Mathematical problems in engineering</title><description>In this article, it is pointed out that the existing intuitionistic fuzzy and T-spherical fuzzy Einstein averaging and geometric operators have some limitations. To overcome these limitations, we proposed some new averaging and geometric operators in the T-spherical fuzzy environment instead of the intuitionistic fuzzy environment because the T-spherical fuzzy set is the most generalized form and the proposed operators can be particularized to the intuitionistic fuzzy environment. First, new operational laws for T-spherical fuzzy information are defined, on the basis of which Einstein geometric interaction operators and Einstein averaging interactive aggregation operators are then proposed. Some basic properties and advantages of proposed aggregation operators are also discussed. Moreover, the proposed operators are applied to the MADM problem to check their reliability. The superiority of the proposed operators over existing work is checked with the help of an example.</description><subject>Accuracy</subject><subject>Agglomeration</subject><subject>Aggregates</subject><subject>Algorithms</subject><subject>Decision making</subject><subject>Fuzzy logic</subject><subject>Fuzzy sets</subject><subject>Operators</subject><subject>Photovoltaic cells</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0M9LwzAUB_AiCs7pzbMEPGpdXpp0zXGMTQeDCZvgrWTdy5bRNTXJlO2vt_sBHj3lJfnwHu8bRfdAXwCE6DDKaAck5UnKLqIWiDSJBfDuZVNTxmNgyed1dOP9mlIGArJWtJ_aDZJZPK1X6EyhSjLc7vc7MjCVD2gqMqoCOlUE842kt1w6XKpgbEUmdfMcrPNEVQsyW6FxpFfXZdPj-B8smWKJxfFiNXlf2WC_bRmUKUgfy9LfRldalR7vzmc7-hgOZv23eDx5HfV747hIUhpiKTVPMRNcLYqFxiRL51mKXMKcK5FSzTM5F8AykJxmLEPFlS60TBA04lyJpB09nvrWzn5t0Yd8bbeuakbmjINg0BXyoJ5PqnDWe4c6r53ZKLfLgeaHdPNDuvk53YY_nfjKVAv1Y_7TDyeNjUGt_jTIZslu8gv0YoUB</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Naeem, Muhammad</creator><creator>Mahmood, Tahir</creator><creator>Munir, Muhammad</creator><creator>Zeng, Shouzhen</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0002-3871-3845</orcidid><orcidid>https://orcid.org/0000-0002-3604-0843</orcidid></search><sort><creationdate>2020</creationdate><title>Some T-Spherical Fuzzy Einstein Interactive Aggregation Operators and Their Application to Selection of Photovoltaic Cells</title><author>Naeem, Muhammad ; Mahmood, Tahir ; Munir, Muhammad ; Zeng, Shouzhen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-99f46e854adcdfe386b86e491b4a560f489b51281940828ea4afcf93e1feeba53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Accuracy</topic><topic>Agglomeration</topic><topic>Aggregates</topic><topic>Algorithms</topic><topic>Decision making</topic><topic>Fuzzy logic</topic><topic>Fuzzy sets</topic><topic>Operators</topic><topic>Photovoltaic cells</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Naeem, Muhammad</creatorcontrib><creatorcontrib>Mahmood, Tahir</creatorcontrib><creatorcontrib>Munir, Muhammad</creatorcontrib><creatorcontrib>Zeng, Shouzhen</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Naeem, Muhammad</au><au>Mahmood, Tahir</au><au>Munir, Muhammad</au><au>Zeng, Shouzhen</au><au>Yang, Zaoli</au><au>Zaoli Yang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Some T-Spherical Fuzzy Einstein Interactive Aggregation Operators and Their Application to Selection of Photovoltaic Cells</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2020</date><risdate>2020</risdate><volume>2020</volume><issue>2020</issue><spage>1</spage><epage>16</epage><pages>1-16</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>In this article, it is pointed out that the existing intuitionistic fuzzy and T-spherical fuzzy Einstein averaging and geometric operators have some limitations. To overcome these limitations, we proposed some new averaging and geometric operators in the T-spherical fuzzy environment instead of the intuitionistic fuzzy environment because the T-spherical fuzzy set is the most generalized form and the proposed operators can be particularized to the intuitionistic fuzzy environment. First, new operational laws for T-spherical fuzzy information are defined, on the basis of which Einstein geometric interaction operators and Einstein averaging interactive aggregation operators are then proposed. Some basic properties and advantages of proposed aggregation operators are also discussed. Moreover, the proposed operators are applied to the MADM problem to check their reliability. The superiority of the proposed operators over existing work is checked with the help of an example.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2020/1904362</doi><tpages>16</tpages><orcidid>https://orcid.org/0000-0002-3871-3845</orcidid><orcidid>https://orcid.org/0000-0002-3604-0843</orcidid><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1024-123X |
ispartof | Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-16 |
issn | 1024-123X 1563-5147 |
language | eng |
recordid | cdi_proquest_journals_2415217595 |
source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Wiley Online Library Open Access; Alma/SFX Local Collection |
subjects | Accuracy Agglomeration Aggregates Algorithms Decision making Fuzzy logic Fuzzy sets Operators Photovoltaic cells |
title | Some T-Spherical Fuzzy Einstein Interactive Aggregation Operators and Their Application to Selection of Photovoltaic Cells |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-20T05%3A06%3A59IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Some%20T-Spherical%20Fuzzy%20Einstein%20Interactive%20Aggregation%20Operators%20and%20Their%20Application%20to%20Selection%20of%20Photovoltaic%20Cells&rft.jtitle=Mathematical%20problems%20in%20engineering&rft.au=Naeem,%20Muhammad&rft.date=2020&rft.volume=2020&rft.issue=2020&rft.spage=1&rft.epage=16&rft.pages=1-16&rft.issn=1024-123X&rft.eissn=1563-5147&rft_id=info:doi/10.1155/2020/1904362&rft_dat=%3Cproquest_cross%3E2415217595%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2415217595&rft_id=info:pmid/&rfr_iscdi=true |