Reliability Analysis: from Fault Tree to Catastrophe Tree
In this paper, we propose a method for analyzing a catastrophe tree that is an analog of the classical method for analyzing a fault tree, which does not require knowledge of the probabilities of events. The concept of the possibility of bifurcation , which is estimated by a number in the interval [0...
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| Veröffentlicht in: | Journal of computer & systems sciences international 2021-09, Vol.60 (5), p.793-801 |
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| container_title | Journal of computer & systems sciences international |
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| creator | Katielnikov, D. I. Pustylnik, L. V. Rotshtein, A. P. |
| description | In this paper, we propose a method for analyzing a catastrophe tree that is an analog of the classical method for analyzing a fault tree, which does not require knowledge of the probabilities of events. The concept of the
possibility of bifurcation
, which is estimated by a number in the interval [0,1] using catastrophe theory and corresponds to the membership function of a fuzzy set, is used instead of the concept of the
probability of failure
. The possibility of bifurcation (or catastrophe) of the system is calculated using specially introduced rules for aggregating the possibilities of bifurcations for various logical operations of the fault tree. The catastrophe analysis method is illustrated using the example of a fault tree for a road accident at a T-junction. |
| doi_str_mv | 10.1134/S1064230721050117 |
| format | Article |
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possibility of bifurcation
, which is estimated by a number in the interval [0,1] using catastrophe theory and corresponds to the membership function of a fuzzy set, is used instead of the concept of the
probability of failure
. The possibility of bifurcation (or catastrophe) of the system is calculated using specially introduced rules for aggregating the possibilities of bifurcations for various logical operations of the fault tree. The catastrophe analysis method is illustrated using the example of a fault tree for a road accident at a T-junction.</description><identifier>ISSN: 1064-2307</identifier><identifier>EISSN: 1555-6530</identifier><identifier>DOI: 10.1134/S1064230721050117</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Bifurcations ; Catastrophe theory ; Control ; Engineering ; Fault trees ; Fuzzy logic ; Fuzzy sets ; Mechatronics ; Reliability analysis ; Robotics ; Systems Analysis and Operations Research ; Traffic accidents</subject><ispartof>Journal of computer & systems sciences international, 2021-09, Vol.60 (5), p.793-801</ispartof><rights>Pleiades Publishing, Ltd. 2021. ISSN 1064-2307, Journal of Computer and Systems Sciences International, 2021, Vol. 60, No. 5, pp. 793–801. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Izvestiya Akademii Nauk, Teoriya i Sistemy Upravleniya, 2021, No. 5, pp. 128–136.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-21c9b53e5c85a6c89ca1034d93b9439610ddbbb1df5d617fc549c1fefbc06be3</citedby><cites>FETCH-LOGICAL-c316t-21c9b53e5c85a6c89ca1034d93b9439610ddbbb1df5d617fc549c1fefbc06be3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1064230721050117$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1064230721050117$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Katielnikov, D. I.</creatorcontrib><creatorcontrib>Pustylnik, L. V.</creatorcontrib><creatorcontrib>Rotshtein, A. P.</creatorcontrib><title>Reliability Analysis: from Fault Tree to Catastrophe Tree</title><title>Journal of computer & systems sciences international</title><addtitle>J. Comput. Syst. Sci. Int</addtitle><description>In this paper, we propose a method for analyzing a catastrophe tree that is an analog of the classical method for analyzing a fault tree, which does not require knowledge of the probabilities of events. The concept of the
possibility of bifurcation
, which is estimated by a number in the interval [0,1] using catastrophe theory and corresponds to the membership function of a fuzzy set, is used instead of the concept of the
probability of failure
. The possibility of bifurcation (or catastrophe) of the system is calculated using specially introduced rules for aggregating the possibilities of bifurcations for various logical operations of the fault tree. The catastrophe analysis method is illustrated using the example of a fault tree for a road accident at a T-junction.</description><subject>Bifurcations</subject><subject>Catastrophe theory</subject><subject>Control</subject><subject>Engineering</subject><subject>Fault trees</subject><subject>Fuzzy logic</subject><subject>Fuzzy sets</subject><subject>Mechatronics</subject><subject>Reliability analysis</subject><subject>Robotics</subject><subject>Systems Analysis and Operations Research</subject><subject>Traffic accidents</subject><issn>1064-2307</issn><issn>1555-6530</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1UE1LxDAUDKLguvoDvBU8V99rmrTxthRXhQVBey9JmmiX7rYm6WH_vVkreBBPb3jzwTCEXCPcItL87g2B5xmFIkNggFickAUyxlLOKJxGHOn0yJ-TC--3AFRwyBdEvJq-k6rru3BIVnvZH3zn7xPrhl2yllMfktoZk4QhqWSQPrhh_DDfv0tyZmXvzdXPXZJ6_VBXT-nm5fG5Wm1STZGHNEMtFKOG6ZJJrkuhJQLNW0GVyGMJhLZVSmFrWcuxsJrlQqM1VmngytAluZljRzd8TsaHZjtMLhb1TcZKLGkRI6IKZ5V2g_fO2GZ03U66Q4PQHAdq_gwUPdns8VG7fzfuN_l_0xdtNWZO</recordid><startdate>20210901</startdate><enddate>20210901</enddate><creator>Katielnikov, D. I.</creator><creator>Pustylnik, L. V.</creator><creator>Rotshtein, A. P.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20210901</creationdate><title>Reliability Analysis: from Fault Tree to Catastrophe Tree</title><author>Katielnikov, D. I. ; Pustylnik, L. V. ; Rotshtein, A. P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-21c9b53e5c85a6c89ca1034d93b9439610ddbbb1df5d617fc549c1fefbc06be3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Bifurcations</topic><topic>Catastrophe theory</topic><topic>Control</topic><topic>Engineering</topic><topic>Fault trees</topic><topic>Fuzzy logic</topic><topic>Fuzzy sets</topic><topic>Mechatronics</topic><topic>Reliability analysis</topic><topic>Robotics</topic><topic>Systems Analysis and Operations Research</topic><topic>Traffic accidents</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Katielnikov, D. I.</creatorcontrib><creatorcontrib>Pustylnik, L. V.</creatorcontrib><creatorcontrib>Rotshtein, A. P.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of computer & systems sciences international</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Katielnikov, D. I.</au><au>Pustylnik, L. V.</au><au>Rotshtein, A. P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Reliability Analysis: from Fault Tree to Catastrophe Tree</atitle><jtitle>Journal of computer & systems sciences international</jtitle><stitle>J. Comput. Syst. Sci. Int</stitle><date>2021-09-01</date><risdate>2021</risdate><volume>60</volume><issue>5</issue><spage>793</spage><epage>801</epage><pages>793-801</pages><issn>1064-2307</issn><eissn>1555-6530</eissn><abstract>In this paper, we propose a method for analyzing a catastrophe tree that is an analog of the classical method for analyzing a fault tree, which does not require knowledge of the probabilities of events. The concept of the
possibility of bifurcation
, which is estimated by a number in the interval [0,1] using catastrophe theory and corresponds to the membership function of a fuzzy set, is used instead of the concept of the
probability of failure
. The possibility of bifurcation (or catastrophe) of the system is calculated using specially introduced rules for aggregating the possibilities of bifurcations for various logical operations of the fault tree. The catastrophe analysis method is illustrated using the example of a fault tree for a road accident at a T-junction.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1064230721050117</doi><tpages>9</tpages></addata></record> |
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| subjects | Bifurcations Catastrophe theory Control Engineering Fault trees Fuzzy logic Fuzzy sets Mechatronics Reliability analysis Robotics Systems Analysis and Operations Research Traffic accidents |
| title | Reliability Analysis: from Fault Tree to Catastrophe Tree |
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