We consider the following problem: 1) There are demand points and possible construction sites in an urban area with some barriers. We adopt rectilinear distance. 2) We construct two facilities, one is welcome facility and the other obnoxious facility We call welcome facility as A and obnoxious facility as B. Two facilities A and B can be constructed at the same site or constructed separately, that is, at two different sites. We assume that each construction cost of A and B is a random variable with fuzzy mean respectively and construction cost of both facilities simultaneously as a same site is also random variable with fuzzy mean. These are distributed according to normal distributions with fuzzy means. 3) The probability that total construction cost becomes below budget f should not be less than the fixed probability level. α and further the possibility that this chance constraint holds should be not less than the fixed level β. Under this possibility chance constraint f should be minimized. 4) We consider three criteria, (a) maximum distance from the construction site of A to all demand points to be minimized, (b) minimum distance from the construction site of B to all demand points to be maximized, (c) budget to be minimized. Since usually there exists no site optimizing three criteria at a time, we seek non-dominated solution after definition of non-domination. Finally, we conclude results and discuss further research problems

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Reduction of the amount of wastes coming from food containers and packaging is one of urgent issues for the humankind. Japanese manufacturers, including F. P. Corporation, are devising their own recycling system of disposable food containers for reusing resources in containers and packagings. Without waiting the Guidelines issued by the Ministry of Health, Labour and Welfare of Japanese Government, it is indispensable to ensure food safety when the manufacturer uses such recycled materials. This paper then intends to present methods for estimating a diffusion rate of contaminant if it is contained in post-consumer food containers and enters the recycling line. Our methods will be explained by applying them to the recycling line realized by F. P. Corporation. As our methods are quite general, they may easily be applied to any other recycling lines.

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