Development and optimization of unrestricted LR-type intuitionistic fuzzy mathematical programming problems |
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| Affiliation: | 1. School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, 430074, China;2. David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, N2L 3G1, Canada;3. RSVP Technologies Inc, Suite 19, 279 Weber St N, Waterloo, N2J 3H8, Canada;1. University of Twente, Drienerlolaan 5, 7522 NB Enschede, The Netherlands;2. 3;1. Imaging Media Research Center, Korea Institute of Science and Technology, Seoul 136-130, Republic of Korea;2. School of Electrical and Electronic Engineering, Yonsei University, Seoul 120-749, Republic of Korea;1. UMR IATE. French National Institute for Agricultural Research, Place Pierre Viala, 34060 Montpellier, France;2. University of Montpellier. LIRMM, 161 rue ADA, F34392 Montpellier Cedex 5, Montpellier, France;1. School of Management, Xi''an Jiaotong University, No.28 Xianning West Road, Xi''an, Shaanxi 710049, China;2. Department of Systems Engineering & Engineering Management, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China |
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| Abstract: | To the best of our knowledge, there is no method to find the product of unrestricted LR-type intuitionistic fuzzy numbers (IFNs) as well as the optimal solutions of LR-type intuitionistic fuzzy linear programming problems (IFLPPs) in which some or all the decision variables are unrestricted. Therefore it is necessary to pay attention to this issue and there is need to find the product of unrestricted LR-type IFNs as well as the optimal solutions of such programming problems. In this paper, the product of unrestricted LR-type IFNs based on the α-cut, β-cut and (α, β)-cut is proposed. Then with the help of proposed product, a new method is proposed to find the optimal solutions of unrestricted LR-type IFLPPs. Finally, an illustrative example is given to support the proposed method and investigated the applicability of existing approaches exist in the literature. |
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