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Iranian Journal of Fuzzy Systems، جلد ۶، شماره ۳، صفحات ۱۷-۳۵
عنوان فارسی FUZZY LINEAR PROGRAMMING WITH GRADES OF SATISFACTION IN CONSTRAINTS
چکیده فارسی مقاله We present a new model and a new approach for solving fuzzylinear programming (FLP) problems with various utilities for the satisfactionof the fuzzy constraints. The model, constructed as a multi-objective linearprogramming problem, provides flexibility for the decision maker (DM), andallows for the assignment of distinct weights to the constraints and the objectivefunction. The desired solution is obtained by solving a crisp problemcontrolled by a parameter. We establish the validity of the proposed modeland study the effect of the control parameter on the solution. We also illustratethe efficiency of the model and present three algorithms for solving theFLP problem, the first of which obtains a desired solution by solving a singlecrisp problem. The other two algorithms, interact with the decision maker,and compute a solution which achieves a given satisfaction level. Finally, wepresent an illustrative example showing that the solutions obtained are ofteneven more satisfactory than asked for.
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عنوان انگلیسی FUZZY LINEAR PROGRAMMING WITH GRADES OF SATISFACTION IN CONSTRAINTS
چکیده انگلیسی مقاله We present a new model and a new approach for solving fuzzylinear programming (FLP) problems with various utilities for the satisfactionof the fuzzy constraints. The model, constructed as a multi-objective linearprogramming problem, provides flexibility for the decision maker (DM), andallows for the assignment of distinct weights to the constraints and the objectivefunction. The desired solution is obtained by solving a crisp problemcontrolled by a parameter. We establish the validity of the proposed modeland study the effect of the control parameter on the solution. We also illustratethe efficiency of the model and present three algorithms for solving theFLP problem, the first of which obtains a desired solution by solving a singlecrisp problem. The other two algorithms, interact with the decision maker,and compute a solution which achieves a given satisfaction level. Finally, wepresent an illustrative example showing that the solutions obtained are ofteneven more satisfactory than asked for.
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نویسندگان مقاله نیک بخش جوادیان |
department of industrial engineering, mazandaran university of science and technology, babol, iran
سازمان اصلی تایید شده: دانشگاه علوم و فنون مازندران (Mazandaran university of science and technology)

یاشار معالی |
department of industrial engineering, mazandaran university of science and technology, babol, iran
سازمان اصلی تایید شده: دانشگاه علوم و فنون مازندران (Mazandaran university of science and technology)

نظام مهدوی امیری | mahdavi amiri
department of mathematical sciences, sharif university of technology, p.o. box 11365-9415, tehran, iran
سازمان اصلی تایید شده: دانشگاه صنعتی شریف (Sharif university of technology)

نشانی اینترنتی http://ijfs.usb.ac.ir/article_198_7226b83fe87443caa21599dac85680c6.pdf
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