Bharati, S.K., Nishad, A.K. and Singh, S.R. (2014) Solution of Multi-Objective Linear Programming under Intuitionistic Fuzzy Environment. In: Babu, B.V., Nagar, A., Deep, K., Pant, M., Bansal, J.C., Ray, K. and Gupta, U., Eds., Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012, Advances in Intelligent Systems and Computing, Vol. 236, Springer India, New Delhi, 161-171.
http://dx.doi.org/10.1007/978-81-322-1602-5_18

has been cited by the following article:

• TITLE: Goal Programming for Solving Fractional Programming Problem in Fuzzy Environment

  AUTHORS: Anil Kumar Nishad, Shiva Raj Singh

  KEYWORDS: Fuzzy Sets, Trapezoidal Fuzzy Number (TFN), Multi-Objective Linear Programming Problem (MOLPP), Multi-Objective Linear Fractional Programming Problem (MOLFPP)

  JOURNAL NAME: Applied Mathematics, Vol.6 No.14, December 31, 2015

  ABSTRACT: This paper is comprised of the modeling and optimization of a multi objective linear programming problem in fuzzy environment in which some goals are fractional and some are linear. Here, we present a new approach for its solution by using α-cut of fuzzy numbers. In this proposed method, we first define membership function for goals by introducing non-deviational variables for each of objective functions with effective use of α-cut intervals to deal with uncertain parameters being represented by fuzzy numbers. In the optimization process the under deviational variables are minimized for finding a most satisfactory solution. The developed method has also been implemented on a problem for illustration and comparison.