Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables
Two induced aggregation operators with novelly designed TOPSIS order-inducing variables are proposed: Induced Interval-valued Intuitionistic Fuzzy Hybrid Averaging (I-IIFHA) operator and Induced Interval-valued Intuitionistic Fuzzy Hybrid Geometric (I-IIFHG) operator. The merit of two aggregation op...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/245732 |
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| author | Jun-Ling Zhang Xiao-Wen Qi |
| author_facet | Jun-Ling Zhang Xiao-Wen Qi |
| author_sort | Jun-Ling Zhang |
| collection | DOAJ |
| description | Two induced aggregation operators with novelly designed TOPSIS order-inducing variables are proposed: Induced Interval-valued Intuitionistic Fuzzy Hybrid Averaging (I-IIFHA) operator and Induced Interval-valued Intuitionistic Fuzzy Hybrid Geometric (I-IIFHG) operator. The merit of two aggregation operators is that they can consider additional preference information of decision maker’s attitudinal characteristics besides argument-dependent information and argument-independent information. Some desirable properties of I-IIFHA and I-IIFHG are studied and theoretical analysis also shows that they can include a wide range of aggregation operators as special cases. Further, we extend these operators to form a novel group decision-making method for selecting the most desirable alternative in multiple attribute multi-interest group decision-making problems with attribute values and decision maker’s interest values taking the form of interval-valued intuitionistic fuzzy numbers, and application research to real estate purchase selection shows its practicality. |
| format | Article |
| id | doaj-art-d06abbc93b334a0693ad488b5eec7445 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d06abbc93b334a0693ad488b5eec74452025-02-03T05:45:43ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/245732245732Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing VariablesJun-Ling Zhang0Xiao-Wen Qi1School of Economics and Management, Zhejiang Normal University, Jinhua 321004, ChinaSchool of Economics and Management, Zhejiang Normal University, Jinhua 321004, ChinaTwo induced aggregation operators with novelly designed TOPSIS order-inducing variables are proposed: Induced Interval-valued Intuitionistic Fuzzy Hybrid Averaging (I-IIFHA) operator and Induced Interval-valued Intuitionistic Fuzzy Hybrid Geometric (I-IIFHG) operator. The merit of two aggregation operators is that they can consider additional preference information of decision maker’s attitudinal characteristics besides argument-dependent information and argument-independent information. Some desirable properties of I-IIFHA and I-IIFHG are studied and theoretical analysis also shows that they can include a wide range of aggregation operators as special cases. Further, we extend these operators to form a novel group decision-making method for selecting the most desirable alternative in multiple attribute multi-interest group decision-making problems with attribute values and decision maker’s interest values taking the form of interval-valued intuitionistic fuzzy numbers, and application research to real estate purchase selection shows its practicality.http://dx.doi.org/10.1155/2012/245732 |
| spellingShingle | Jun-Ling Zhang Xiao-Wen Qi Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables Journal of Applied Mathematics |
| title | Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables |
| title_full | Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables |
| title_fullStr | Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables |
| title_full_unstemmed | Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables |
| title_short | Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables |
| title_sort | induced interval valued intuitionistic fuzzy hybrid aggregation operators with topsis order inducing variables |
| url | http://dx.doi.org/10.1155/2012/245732 |
| work_keys_str_mv | AT junlingzhang inducedintervalvaluedintuitionisticfuzzyhybridaggregationoperatorswithtopsisorderinducingvariables AT xiaowenqi inducedintervalvaluedintuitionisticfuzzyhybridaggregationoperatorswithtopsisorderinducingvariables |