Generalized Variability Orderings among Nonnegative Fuzzy Random Variables
The variability ordering for more and less variables of fuzzy random variables in terms of its distribution function is defined. A property of new better than used in expectation (NBUE) and new worse than used in expectation (NWUE) is derived as an application to the variability ordering of fuzzy ra...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/757943 |
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| author | S. Ramasubramanian P. Mahendran |
| author_facet | S. Ramasubramanian P. Mahendran |
| author_sort | S. Ramasubramanian |
| collection | DOAJ |
| description | The variability ordering for more and less variables of fuzzy random variables in terms of its distribution function is defined. A property of new better than used in expectation (NBUE) and new worse than used in expectation (NWUE) is derived as an application to the variability ordering of fuzzy random variables. The concept of generalized variability orderings of nonnegative fuzzy random variables representing lifetime of components is introduced. The <P domination is a generalized variability ordering. We proposed an integral inequality to the case of fuzzy random variables using <P ordering. The results included equivalent conditions which justify the generalized variability orderings. |
| format | Article |
| id | doaj-art-e970faee67e541a9bf7485fe089488af |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e970faee67e541a9bf7485fe089488af2025-08-20T03:21:09ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/757943757943Generalized Variability Orderings among Nonnegative Fuzzy Random VariablesS. Ramasubramanian0P. Mahendran1Department of Mathematics, Anna University, BIT Campus, Tiruchirappalli 620024, IndiaDepartment of Mathematics, Anna University, BIT Campus, Tiruchirappalli 620024, IndiaThe variability ordering for more and less variables of fuzzy random variables in terms of its distribution function is defined. A property of new better than used in expectation (NBUE) and new worse than used in expectation (NWUE) is derived as an application to the variability ordering of fuzzy random variables. The concept of generalized variability orderings of nonnegative fuzzy random variables representing lifetime of components is introduced. The <P domination is a generalized variability ordering. We proposed an integral inequality to the case of fuzzy random variables using <P ordering. The results included equivalent conditions which justify the generalized variability orderings.http://dx.doi.org/10.1155/2015/757943 |
| spellingShingle | S. Ramasubramanian P. Mahendran Generalized Variability Orderings among Nonnegative Fuzzy Random Variables Abstract and Applied Analysis |
| title | Generalized Variability Orderings among Nonnegative Fuzzy Random Variables |
| title_full | Generalized Variability Orderings among Nonnegative Fuzzy Random Variables |
| title_fullStr | Generalized Variability Orderings among Nonnegative Fuzzy Random Variables |
| title_full_unstemmed | Generalized Variability Orderings among Nonnegative Fuzzy Random Variables |
| title_short | Generalized Variability Orderings among Nonnegative Fuzzy Random Variables |
| title_sort | generalized variability orderings among nonnegative fuzzy random variables |
| url | http://dx.doi.org/10.1155/2015/757943 |
| work_keys_str_mv | AT sramasubramanian generalizedvariabilityorderingsamongnonnegativefuzzyrandomvariables AT pmahendran generalizedvariabilityorderingsamongnonnegativefuzzyrandomvariables |