TOPSIS Method Based on the Correlation Coefficient of Interval-Valued Intuitionistic Fuzzy Soft Sets and Aggregation Operators with Their Application in Decision-Making
The correlation coefficient between the two parameters plays a significant part in statistics. Furthermore, the exactness of the assessment of correlation depends upon information from the set of discourses. The data collected for various statistical studies are full of ambiguities. The idea of inte...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6656858 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563163425406976 |
|---|---|
| author | Rana Muhammad Zulqarnain Xiao Long Xin Muhammad Saqlain Waseem Asghar Khan |
| author_facet | Rana Muhammad Zulqarnain Xiao Long Xin Muhammad Saqlain Waseem Asghar Khan |
| author_sort | Rana Muhammad Zulqarnain |
| collection | DOAJ |
| description | The correlation coefficient between the two parameters plays a significant part in statistics. Furthermore, the exactness of the assessment of correlation depends upon information from the set of discourses. The data collected for various statistical studies are full of ambiguities. The idea of interval-valued intuitionistic fuzzy soft sets is an extension of intuitionistic fuzzy soft sets that is used to express insufficient evaluation, uncertainty, and anxiety in decision-making. Intuitionistic fuzzy soft sets consider two different types of information, such as membership degree and nonmembership degree. In this paper, the concepts and properties of the correlation coefficient and the weighted correlation coefficient of interval-valued intuitionistic fuzzy soft sets are proposed. A prioritization technique for order preference by similarity to the ideal solution based on interval-valued intuitionistic fuzzy soft sets of correlation coefficients and the weighted correlation coefficient is introduced. We also proposed interval-valued intuitionistic fuzzy soft weighted average and interval-valued intuitionistic fuzzy soft weighted geometric operators and developed decision-making techniques based on the proposed operators. By using the developed techniques, a method for solving decision-making problems is proposed. To ensure the applicability of the proposed methods, an illustrative example is given. Finally, we present a comparison of some existing methods with our proposed techniques. |
| format | Article |
| id | doaj-art-7caaf08fabc34edb9b50778b84abb58c |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7caaf08fabc34edb9b50778b84abb58c2025-02-03T01:20:49ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66568586656858TOPSIS Method Based on the Correlation Coefficient of Interval-Valued Intuitionistic Fuzzy Soft Sets and Aggregation Operators with Their Application in Decision-MakingRana Muhammad Zulqarnain0Xiao Long Xin1Muhammad Saqlain2Waseem Asghar Khan3School of Mathematics, Northwest University Xi’an, Xi’an, ChinaSchool of Mathematics, Northwest University Xi’an, Xi’an, ChinaSchool of Mathematics, Northwest University Xi’an, Xi’an, ChinaDepartment of Mathematics, Faculty of Sciences AlZulfi, Majmaah University, Majmaah 11952, Saudi ArabiaThe correlation coefficient between the two parameters plays a significant part in statistics. Furthermore, the exactness of the assessment of correlation depends upon information from the set of discourses. The data collected for various statistical studies are full of ambiguities. The idea of interval-valued intuitionistic fuzzy soft sets is an extension of intuitionistic fuzzy soft sets that is used to express insufficient evaluation, uncertainty, and anxiety in decision-making. Intuitionistic fuzzy soft sets consider two different types of information, such as membership degree and nonmembership degree. In this paper, the concepts and properties of the correlation coefficient and the weighted correlation coefficient of interval-valued intuitionistic fuzzy soft sets are proposed. A prioritization technique for order preference by similarity to the ideal solution based on interval-valued intuitionistic fuzzy soft sets of correlation coefficients and the weighted correlation coefficient is introduced. We also proposed interval-valued intuitionistic fuzzy soft weighted average and interval-valued intuitionistic fuzzy soft weighted geometric operators and developed decision-making techniques based on the proposed operators. By using the developed techniques, a method for solving decision-making problems is proposed. To ensure the applicability of the proposed methods, an illustrative example is given. Finally, we present a comparison of some existing methods with our proposed techniques.http://dx.doi.org/10.1155/2021/6656858 |
| spellingShingle | Rana Muhammad Zulqarnain Xiao Long Xin Muhammad Saqlain Waseem Asghar Khan TOPSIS Method Based on the Correlation Coefficient of Interval-Valued Intuitionistic Fuzzy Soft Sets and Aggregation Operators with Their Application in Decision-Making Journal of Mathematics |
| title | TOPSIS Method Based on the Correlation Coefficient of Interval-Valued Intuitionistic Fuzzy Soft Sets and Aggregation Operators with Their Application in Decision-Making |
| title_full | TOPSIS Method Based on the Correlation Coefficient of Interval-Valued Intuitionistic Fuzzy Soft Sets and Aggregation Operators with Their Application in Decision-Making |
| title_fullStr | TOPSIS Method Based on the Correlation Coefficient of Interval-Valued Intuitionistic Fuzzy Soft Sets and Aggregation Operators with Their Application in Decision-Making |
| title_full_unstemmed | TOPSIS Method Based on the Correlation Coefficient of Interval-Valued Intuitionistic Fuzzy Soft Sets and Aggregation Operators with Their Application in Decision-Making |
| title_short | TOPSIS Method Based on the Correlation Coefficient of Interval-Valued Intuitionistic Fuzzy Soft Sets and Aggregation Operators with Their Application in Decision-Making |
| title_sort | topsis method based on the correlation coefficient of interval valued intuitionistic fuzzy soft sets and aggregation operators with their application in decision making |
| url | http://dx.doi.org/10.1155/2021/6656858 |
| work_keys_str_mv | AT ranamuhammadzulqarnain topsismethodbasedonthecorrelationcoefficientofintervalvaluedintuitionisticfuzzysoftsetsandaggregationoperatorswiththeirapplicationindecisionmaking AT xiaolongxin topsismethodbasedonthecorrelationcoefficientofintervalvaluedintuitionisticfuzzysoftsetsandaggregationoperatorswiththeirapplicationindecisionmaking AT muhammadsaqlain topsismethodbasedonthecorrelationcoefficientofintervalvaluedintuitionisticfuzzysoftsetsandaggregationoperatorswiththeirapplicationindecisionmaking AT waseemasgharkhan topsismethodbasedonthecorrelationcoefficientofintervalvaluedintuitionisticfuzzysoftsetsandaggregationoperatorswiththeirapplicationindecisionmaking |