An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators
Dombi t-norm (DTN) and t-conorm (TCN) are among the most effective triangular norms in fuzzy systems for aggregation purposes. The environment of interval-valued intuitionistic fuzzy (IVIF) set gives us precision in expressing uncertain information by using a membership grade (MG) and non-membership...
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2022-05-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/15/11/3939 |
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| author | Mujab Waqar Kifayat Ullah Dragan Pamucar Goran Jovanov Ðordje Vranješ |
| author_facet | Mujab Waqar Kifayat Ullah Dragan Pamucar Goran Jovanov Ðordje Vranješ |
| author_sort | Mujab Waqar |
| collection | DOAJ |
| description | Dombi t-norm (DTN) and t-conorm (TCN) are among the most effective triangular norms in fuzzy systems for aggregation purposes. The environment of interval-valued intuitionistic fuzzy (IVIF) set gives us precision in expressing uncertain information by using a membership grade (MG) and non-membership grade (NMG) in the form of closed subintervals of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfenced close="]" open="["><mrow><mn>0</mn><mo>,</mo><mo> </mo><mn>1</mn></mrow></mfenced></mrow></semantics></math></inline-formula>. The goal of this paper is to introduce DTN-based aggregation operators (AOs) for IVIF numbers (IVIFNs) and study their performance in the evaluation of the worth of energy recourses to be opted in Pakistan to deal with the energy crises situation. We first introduced some DTN and TCN-based operations for IVIFNs and developed two new AOs known as IVIF Dombi weighted averaging (IVIFDWA) and IVIF Dombi weighted geometric (IVIFDWG) operators. The validity and fitness of the proposed operators are tested. A case study is presented where the energy resources of Pakistan are discussed and the problem of the selection of sustainable energy resources in the context of Pakistan is investigated. The sensitivity analysis of the proposed IVIFDWA and IVIFDWG operators is studied and a comparative analysis of the current work with previous studies is established. |
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| format | Article |
| id | doaj.art-7132328aab434bb6a81b5b43be72f60f |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T01:21:58Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
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| series | Energies |
| spelling | doaj.art-7132328aab434bb6a81b5b43be72f60f2023-11-23T13:57:40ZengMDPI AGEnergies1996-10732022-05-011511393910.3390/en15113939An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation OperatorsMujab Waqar0Kifayat Ullah1Dragan Pamucar2Goran Jovanov3Ðordje Vranješ4Department of Mathematics, Lahore Campus, Riphah International University, Lahore 54000, PakistanDepartment of Mathematics, Lahore Campus, Riphah International University, Lahore 54000, PakistanDepartment of Logistics, Military Academy, The University of Defense in Belgrade, 11000 Belgrade, SerbiaDepartment of Forensics, University of Criminal Investigation and Police Studies, 11080 Belgrade, SerbiaEnviron Doo Beograd-Čukarica, 11030 Belgrade, SerbiaDombi t-norm (DTN) and t-conorm (TCN) are among the most effective triangular norms in fuzzy systems for aggregation purposes. The environment of interval-valued intuitionistic fuzzy (IVIF) set gives us precision in expressing uncertain information by using a membership grade (MG) and non-membership grade (NMG) in the form of closed subintervals of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mfenced close="]" open="["><mrow><mn>0</mn><mo>,</mo><mo> </mo><mn>1</mn></mrow></mfenced></mrow></semantics></math></inline-formula>. The goal of this paper is to introduce DTN-based aggregation operators (AOs) for IVIF numbers (IVIFNs) and study their performance in the evaluation of the worth of energy recourses to be opted in Pakistan to deal with the energy crises situation. We first introduced some DTN and TCN-based operations for IVIFNs and developed two new AOs known as IVIF Dombi weighted averaging (IVIFDWA) and IVIF Dombi weighted geometric (IVIFDWG) operators. The validity and fitness of the proposed operators are tested. A case study is presented where the energy resources of Pakistan are discussed and the problem of the selection of sustainable energy resources in the context of Pakistan is investigated. The sensitivity analysis of the proposed IVIFDWA and IVIFDWG operators is studied and a comparative analysis of the current work with previous studies is established.https://www.mdpi.com/1996-1073/15/11/3939Dombi aggregation operatorsinterval-valued intuitionistic fuzzy setsmulti-attribute decision-making |
| spellingShingle | Mujab Waqar Kifayat Ullah Dragan Pamucar Goran Jovanov Ðordje Vranješ An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators Energies Dombi aggregation operators interval-valued intuitionistic fuzzy sets multi-attribute decision-making |
| title | An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators |
| title_full | An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators |
| title_fullStr | An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators |
| title_full_unstemmed | An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators |
| title_short | An Approach for the Analysis of Energy Resource Selection Based on Attributes by Using Dombi T-Norm Based Aggregation Operators |
| title_sort | approach for the analysis of energy resource selection based on attributes by using dombi t norm based aggregation operators |
| topic | Dombi aggregation operators interval-valued intuitionistic fuzzy sets multi-attribute decision-making |
| url | https://www.mdpi.com/1996-1073/15/11/3939 |
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