A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers
Modelling real life (industrial) problems using intuitionistic fuzzy numbers is inevitable in the present scenario due to their efficiency in solving problems and their accuracy in the results. Particularly, trapezoidal intuitionistic fuzzy numbers (TrIFNs) are widely used in describing imprecisenes...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/3049041 |
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| author | Lakshmana Gomathi Nayagam Velu Jeevaraj Selvaraj Dhanasekaran Ponnialagan |
| author_facet | Lakshmana Gomathi Nayagam Velu Jeevaraj Selvaraj Dhanasekaran Ponnialagan |
| author_sort | Lakshmana Gomathi Nayagam Velu |
| collection | DOAJ |
| description | Modelling real life (industrial) problems using intuitionistic fuzzy numbers is inevitable in the present scenario due to their efficiency in solving problems and their accuracy in the results. Particularly, trapezoidal intuitionistic fuzzy numbers (TrIFNs) are widely used in describing impreciseness and incompleteness of a data. Any intuitionistic fuzzy decision-making problem requires the ranking procedure for intuitionistic fuzzy numbers. Ranking trapezoidal intuitionistic fuzzy numbers play an important role in problems involving incomplete and uncertain information. The available intuitionistic fuzzy decision-making methods cannot perform well in all types of problems, due to the partial ordering on the set of intuitionistic fuzzy numbers. In this paper, a new total ordering on the class of TrIFNs using eight different score functions, namely, imprecise score, nonvague score, incomplete score, accuracy score, spread score, nonaccuracy score, left area score, and right area score, is achieved and our proposed method is validated using illustrative examples. Significance of our proposed method with familiar existing methods is discussed. |
| format | Article |
| id | doaj-art-6e1e92c930214e7b914db52abd9ffbeb |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6e1e92c930214e7b914db52abd9ffbeb2025-08-20T03:33:56ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/30490413049041A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy NumbersLakshmana Gomathi Nayagam Velu0Jeevaraj Selvaraj1Dhanasekaran Ponnialagan2Department of Mathematics, National Institute of Technology, Tiruchirappalli, IndiaDepartment of Mathematics, National Institute of Technology, Tiruchirappalli, IndiaDepartment of Mathematics, National Institute of Technology, Tiruchirappalli, IndiaModelling real life (industrial) problems using intuitionistic fuzzy numbers is inevitable in the present scenario due to their efficiency in solving problems and their accuracy in the results. Particularly, trapezoidal intuitionistic fuzzy numbers (TrIFNs) are widely used in describing impreciseness and incompleteness of a data. Any intuitionistic fuzzy decision-making problem requires the ranking procedure for intuitionistic fuzzy numbers. Ranking trapezoidal intuitionistic fuzzy numbers play an important role in problems involving incomplete and uncertain information. The available intuitionistic fuzzy decision-making methods cannot perform well in all types of problems, due to the partial ordering on the set of intuitionistic fuzzy numbers. In this paper, a new total ordering on the class of TrIFNs using eight different score functions, namely, imprecise score, nonvague score, incomplete score, accuracy score, spread score, nonaccuracy score, left area score, and right area score, is achieved and our proposed method is validated using illustrative examples. Significance of our proposed method with familiar existing methods is discussed.http://dx.doi.org/10.1155/2017/3049041 |
| spellingShingle | Lakshmana Gomathi Nayagam Velu Jeevaraj Selvaraj Dhanasekaran Ponnialagan A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers Complexity |
| title | A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers |
| title_full | A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers |
| title_fullStr | A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers |
| title_full_unstemmed | A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers |
| title_short | A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers |
| title_sort | new ranking principle for ordering trapezoidal intuitionistic fuzzy numbers |
| url | http://dx.doi.org/10.1155/2017/3049041 |
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