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The purpose of this paper is to implement an approach of two dimensional criteria weight determination along with logarithmic concept implementation for vital node investigation in term of their influential ability. Betweenness, Closeness, Eigenvector, Hub, In-degree, Inverse closeness, Out-degree and Total degree considered as criteria and terrorist involved in 9\/11 terrorist attack considered as alternatives used to formulate a decision problem. Although an integrated approach of Fuzzy based subjective-Aggregation concept based objective criteria weight determination and Ranking alternatives by the implementation of the logarithmic concept is used to solve multi criteria decision problems in order to show the application of most centralized node identification process which can be obtained easily by classification and selection problem solution using multiple criteria and alternatives.<\/jats:p>","DOI":"10.3233\/jifs-191899","type":"journal-article","created":{"date-parts":[[2020,2,14]],"date-time":"2020-02-14T09:24:49Z","timestamp":1581672289000},"page":"3617-3631","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["A fuzzy based integrated model for\u00a0identification of vital node in terrorist network using logarithmic concept"],"prefix":"10.1177","volume":"39","author":[{"given":"Amit Kumar","family":"Mishra","sequence":"first","affiliation":[{"name":"Computer Science &amp; Engineering, Banasthali Vidyapeeth, Rajasthan, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nisheeth","family":"Joshi","sequence":"additional","affiliation":[{"name":"Computer Science &amp; Engineering, Banasthali Vidyapeeth, Rajasthan, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Iti","family":"Mathur","sequence":"additional","affiliation":[{"name":"Computer Science &amp; Engineering, Banasthali Vidyapeeth, Rajasthan, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,2,13]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.4236\/ajor.2014.44025"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","unstructured":"LiZ. 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