MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators
The interval neutrosophic set (INS) can make it easier to articulate incomplete, indeterminate, and inconsistent information, and the Schweizer-Sklar (Sh-Sk) t-norm (tm) and t-conorm (tcm) can make the information aggregation process more flexible due to a variable parameter. To take full advantage...
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doaj-a4e4ece84fe64b63b9735795e6c8eadc2020-11-25T01:25:44ZengMDPI AGSymmetry2073-89942019-09-011110118710.3390/sym11101187sym11101187MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation OperatorsQaisar Khan0Lazim Abdullah1Tahir Mahmood2Muhammad Naeem3Saima Rashid4Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanSchool of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, MalaysiaDepartment of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics, GC University Faisalabad, Punjab 38000, PakistanThe interval neutrosophic set (INS) can make it easier to articulate incomplete, indeterminate, and inconsistent information, and the Schweizer-Sklar (Sh-Sk) t-norm (tm) and t-conorm (tcm) can make the information aggregation process more flexible due to a variable parameter. To take full advantage of INS and Sh-Sk operations, in this article, we expanded the Sh-Sk and to IN numbers (INNs) in which the variable parameter takes values from , develop the Sh-Sk operational laws for INNs and discussed its desirable properties. After that, based on these newly developed operational laws, two types of generalized prioritized aggregation operators are established, the generalized IN Sh-Sk prioritized weighted averaging (INSh-SkPWA) operator and the generalized IN Sh-Sk prioritized weighted geometric (INSh-SkPWG) operator. Additionally, we swot a number of valuable characteristics of these intended aggregation operators (AGOs) and created two novel decision-making models to match with multiple-attribute decision-making (MADM) problems under IN information established on INSh-SkPWA and INSh-SkPRWG operators. Finally, an expressive example regarding evaluating the technological innovation capability for the high-tech enterprises is specified to confirm the efficacy of the intended models.https://www.mdpi.com/2073-8994/11/10/1187interval neutrosophic setsSchweizer-Sklar operationsprioritized aggregation operatordecision making |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qaisar Khan Lazim Abdullah Tahir Mahmood Muhammad Naeem Saima Rashid |
spellingShingle |
Qaisar Khan Lazim Abdullah Tahir Mahmood Muhammad Naeem Saima Rashid MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators Symmetry interval neutrosophic sets Schweizer-Sklar operations prioritized aggregation operator decision making |
author_facet |
Qaisar Khan Lazim Abdullah Tahir Mahmood Muhammad Naeem Saima Rashid |
author_sort |
Qaisar Khan |
title |
MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators |
title_short |
MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators |
title_full |
MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators |
title_fullStr |
MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators |
title_full_unstemmed |
MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators |
title_sort |
madm based on generalized interval neutrosophic schweizer-sklar prioritized aggregation operators |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2019-09-01 |
description |
The interval neutrosophic set (INS) can make it easier to articulate incomplete, indeterminate, and inconsistent information, and the Schweizer-Sklar (Sh-Sk) t-norm (tm) and t-conorm (tcm) can make the information aggregation process more flexible due to a variable parameter. To take full advantage of INS and Sh-Sk operations, in this article, we expanded the Sh-Sk and to IN numbers (INNs) in which the variable parameter takes values from , develop the Sh-Sk operational laws for INNs and discussed its desirable properties. After that, based on these newly developed operational laws, two types of generalized prioritized aggregation operators are established, the generalized IN Sh-Sk prioritized weighted averaging (INSh-SkPWA) operator and the generalized IN Sh-Sk prioritized weighted geometric (INSh-SkPWG) operator. Additionally, we swot a number of valuable characteristics of these intended aggregation operators (AGOs) and created two novel decision-making models to match with multiple-attribute decision-making (MADM) problems under IN information established on INSh-SkPWA and INSh-SkPRWG operators. Finally, an expressive example regarding evaluating the technological innovation capability for the high-tech enterprises is specified to confirm the efficacy of the intended models. |
topic |
interval neutrosophic sets Schweizer-Sklar operations prioritized aggregation operator decision making |
url |
https://www.mdpi.com/2073-8994/11/10/1187 |
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