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For this purpose the triangular fuzzy Choquet averaging (TFCA) operator is constructed. Interaction attributes, influencing the service centers\u2019 selection process, are defined. Interaction indexes between attributes and importance values of attributes are taken into account in the construction of the 2-order additive triangular fuzzy valued fuzzy measure (TFVFM). On the second stage, based on the TFCA operator, a new objective function - selection ranking index of candidate sites is constructed. We consider also two classical objective functions - total cost for opening of service centers and number of agents needed to operate the opened service centers. A new objective function together with latter ones creates the multi-objective fuzzy facility location set covering problem. A Pareto front for this problem is constructed. A simulation example of emergency service facility location planning for a city is considered. The example deals with the problem of planning fire station locations for serving emergency situations in specific demand points \u2013 critical infrastructure objects.<\/jats:p>","DOI":"10.3233\/jifs-18723","type":"journal-article","created":{"date-parts":[[2019,7,26]],"date-time":"2019-07-26T12:27:31Z","timestamp":1564144051000},"page":"7883-7893","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":9,"title":["New fuzzy approach to facility location problem for extreme environment"],"prefix":"10.1177","volume":"37","author":[{"given":"Gia","family":"Sirbiladze","sequence":"first","affiliation":[{"name":"Department of Computer Science, I. Javakhishvili Tbilisi State University, Tbilisi, Georgia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bezhan","family":"Ghvaberidze","sequence":"additional","affiliation":[{"name":"Department of Computer Science, I. 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