Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making
The Bonferroni mean (BM) operator is an important aggregation technique which reflects the correlations of aggregated arguments. Based on the BM and harmonic mean operators, H. Sun and M. Sun (2012) developed the fuzzy Bonferroni harmonic mean (FBHM) and fuzzy ordered Bonferroni harmonic mean (FOBHM...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/604029 |
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| _version_ | 1832552635713978368 |
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| author | Jin Han Park Eun Jin Park |
| author_facet | Jin Han Park Eun Jin Park |
| author_sort | Jin Han Park |
| collection | DOAJ |
| description | The Bonferroni mean (BM) operator is an important aggregation technique which reflects the correlations of aggregated arguments. Based on the BM and harmonic mean operators, H. Sun and M. Sun (2012) developed
the fuzzy Bonferroni harmonic mean (FBHM) and fuzzy ordered Bonferroni harmonic mean (FOBHM) operators. In this
paper, we study desirable properties of these operators and extend them, by considering the correlations of any three aggregated
arguments instead of any two, to develop generalized fuzzy weighted Bonferroni harmonic mean (GFWBHM) operator
and generalized fuzzy ordered weighted Bonferroni harmonic mean (GFOWBHM) operator. In particular, all these operators
can be reduced to aggregate interval or real numbers. Then based on the GFWBHM and GFOWBHM operators, we present
an approach to multiple attribute group decision making and illustrate it with a practical example. |
| format | Article |
| id | doaj-art-4959a108d4a9446a8937c96a0f4972fb |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4959a108d4a9446a8937c96a0f4972fb2025-02-03T05:58:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/604029604029Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision MakingJin Han Park0Eun Jin Park1Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of KoreaDepartment of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of KoreaThe Bonferroni mean (BM) operator is an important aggregation technique which reflects the correlations of aggregated arguments. Based on the BM and harmonic mean operators, H. Sun and M. Sun (2012) developed the fuzzy Bonferroni harmonic mean (FBHM) and fuzzy ordered Bonferroni harmonic mean (FOBHM) operators. In this paper, we study desirable properties of these operators and extend them, by considering the correlations of any three aggregated arguments instead of any two, to develop generalized fuzzy weighted Bonferroni harmonic mean (GFWBHM) operator and generalized fuzzy ordered weighted Bonferroni harmonic mean (GFOWBHM) operator. In particular, all these operators can be reduced to aggregate interval or real numbers. Then based on the GFWBHM and GFOWBHM operators, we present an approach to multiple attribute group decision making and illustrate it with a practical example.http://dx.doi.org/10.1155/2013/604029 |
| spellingShingle | Jin Han Park Eun Jin Park Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making Journal of Applied Mathematics |
| title | Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making |
| title_full | Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making |
| title_fullStr | Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making |
| title_full_unstemmed | Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making |
| title_short | Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making |
| title_sort | generalized fuzzy bonferroni harmonic mean operators and their applications in group decision making |
| url | http://dx.doi.org/10.1155/2013/604029 |
| work_keys_str_mv | AT jinhanpark generalizedfuzzybonferroniharmonicmeanoperatorsandtheirapplicationsingroupdecisionmaking AT eunjinpark generalizedfuzzybonferroniharmonicmeanoperatorsandtheirapplicationsingroupdecisionmaking |