This paper considers Stackelberg solutions for decision making problems in hierarchical organizations under fuzzy random environments. Taking into account vagueness of judgments of decision makers, fuzzy goals are introduced into the formulated fuzzy random two-level linear programming problems. On the basis of the possibility and necessity measures that each objective function fulfills the cor...

water resources sustainability is one of the major issues in the agricultural sustainability. in this study sustainability of water resources has been investigated by use of linear and non-linear models in six models based on optimal utilization of water resources in the north parts farms of iran because of incorrect use of agricultural water resources, from 2011 to 2012. also “gross margin per...

The story of Gomory cuts is characterized by swings between great acclaim in the early days, near oblivion for decades and an amazing come back in the last 20 years. These cuts have been described as “elegant”, “disappointing” and “the clear winner” at various times over the last 55 years. This essay retraces that roller coaster. Ralph Gomory’s paper “Early Integer Programming” recounts his dis...

This paper deals with a solution procedure for solving linear fuzzy fractional transportation problem (LFFTP) which is a special type of linear fuzzy fractional programming problem (LFFPP). Fuzzy version of improved Vogel’s approximation method and Fuzzy version of Modi method are used to obtain the fuzzy optimal solution to the given LFFTP by without reformulating the original problem into an ...

This paper proposes a fuzzy goal programming based on Taylor series for solving decentralized bilevel multiobjective fractional programming (DBLMOFP) problem. In the proposed approach, all of the membership functions are associated with the fuzzy goals of each objective at the both levels and also the fractional membership functions are converted to linear functions using the Taylor series appr...

In this paper an enumeration technique for solving linear fractional fuzzy set covering problem is defined. Set covering problems belong to the class of 0-1 integer programming problems that are NP-complete. Many applications arises having the set covering problems, switching theory, testing of VLSI circuits and line balancing often take on a set covering structure. Linear fractional set coveri...

Like a linear programming (LP) problem, linear-fractional programming (LFP) problem can be usefully applied in a wide range of real-world applications. In the last few decades a lot of research papers and monographs were published throughout the world where authors (mainly mathematicians) investigated different theoretical and algorithmic aspects of LFP problems in various forms. In this paper ...