Intuitionistic fuzzy multi-stage multi-objective fixed-charge solid transportation problem in a green supply chain

International Journal of Machine Learning and Cybernetics - Tập 12 Số 3 - Trang 699-717 - 2021
Sudipta Midya1, Sankar Kumar Roy1, Vincent F. Yu2
1Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, 721102, India
2Department of Industrial Management, National Taiwan University of Science and Technology, 43, Section 4, Keelung Road, Taipei 10607, Taiwan

Tóm tắt

Từ khóa


Tài liệu tham khảo

Aggarwal S, Gupta C (2016) Solving intuitionistic fuzzy solid transportation problem via new ranking method based on signed distance. Int J Uncertainty Fuzziness Knowl Based Syst 24:483–501

Angelov PP (1997) Optimization in an intuitionistic fuzzy environments. Fuzzy Sets Syst 86:299–306

Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

Charnes A, Cooper W (1961) Management models and industrial applications of linear programming, 1. Wiley, New York

Chen L, Peng J, Zhang B (2017) Uncertain goal programming models for bicriteria solid transportation problem. Appl Soft Comput 51:49–59

Dalman H (2018) Uncertain programming model for multi-item solid transportation problem. Int J Mach Learn Cybernet 9(4):559–567

Ebrahimnejad A (2016) New method for solving fuzzy transportation problems with LR flat fuzzy numbers. Inf Sci 357:108–124

Ebrahimnejad A, Verdegay JL (2018) A new approach for solving fully intuitionistic fuzzy transportation problems. Fuzzy Optim Decis Making 17(4):447–474

Geoffrion AM, Graves GW (1974) Multicommodity distribution system design by benders decomposition. Manage Sci 20(8):22–44

Grzegrorzewski P (2003) The hamming distance between two intuitionistic fuzzy sets. In: Proceedings of the 10th IFSA World Congress, Istanbul, Turkey, pp 35–38

Gupta G, Kaur J, Kumar A (2016) A note on fully fuzzy fixed charge multi-item solid transportation problem. Appl Soft Comput 41:418–419

Haley KB (1962) The solid transportation problen. Oper Res 10:448–463

Hassanzadeha F, Nematia H, Sunb M (2013) Robust optimization for multi-objective programming problems with imprecise information. Procedia Comput Sci 17:357–364

Hirsch WM, Dantzig GB (1968) The fixed charge problem. Naval Res Logist Q 15:413–424

Jones D, Tamiz M (2010) Practical goal programming. Springer, New York

Li L, Lai KK (2000) A fuzzy approach to the multi-objective transportation problem. Comput Oper Res 27:43–57

Maity G, Mardanya D, Roy SK, Weber GW (2019) A new approach for solving dual-hesitant fuzzy transportation problem with restrictions. Sadhana 44(4):75

Maity G, Roy SK, Verdegay JL (2020) Analyzing multimodal transportation problem and its application to artificial intelligence. Neural Comput Appl 32(7):2243–2256

Maity G, Roy SK, Verdegay JL (2019) Time variant multi-objective interval-valued transportation problem in sustainable development. Sustainability 11(21):6161

Maity G, Roy SK, Verdegay JL (2016) Multi-objective transportation problem with cost reliability under uncertain environment. Int J Comput Intell Syst 9(5):839–849

Midya S, Roy SK (2014) Solving single-sink fixed-charge multi-objective multi-index stochastic transportation problem. Am J Math Manag Sci 33(4):300–314

Midya S, Roy SK (2017) Analysis of interval programming in different environments and its application to fixed-charge transportation problem. Discrete Math Algorithm Appl 9(3):1750040 ((17 pages)

Midya S, Roy SK (2020) Multi-objective fixed-charge transportation problem using rough programming. Int J Oper Res 37(3):377–395

Mollanoori H, Moghaddam RT, Triki C, Keshteli MH, Sabouhi F (2019) Extending the solid step fixed-charge transportation problem to consider two-stage networks and multi-item shipments. Comput Ind Eng 137:106008

Nehi HM, Maleki HR (2005) Intuitionistic fuzzy numbers and it’s applications in fuzzy optimization problem, In Proceedings of the $$9^{th}$$ WSEAS international conference on systems, Athens, Greece, 1-5

Paksoy T, Pehlivan NY, Özceylan E (2012) Fuzzy multi-objective optimization of a green supply chain network with risk management that includes environmental hazards. Hum Ecol Risk Assess 18:1120–1151

Raj KAAD, Rajendram C (2012) A genetic algorithm for solving the fixed-charge transportation model: two-stage problem. Comput Oper Res 39:2016–2032

Rani D, Gulati TR, Garg Harish (2016) Multi-objective non-linear programming problem in intuitionistic fuzzy environment: optimistic and pessimistic view point. Expert Syst Appl 64:228–238

Roy SK, Maity G, Weber GW (2017) Multi-objective two-stage grey transportation problem using utility function with goals. CEJOR 25:417–439

Roy SK, Maity G, Weber GW, Gök SZA (2017) Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval Goal. Ann Oper Res 253(1):599–620

Roy SK, Ebrahimnejad A, Verdegay JL, Das S (2018) New approach for solving intuitionistic fuzzy multi-objective transportation problem. Sadhana 43(1):3

Roy SK, Midya S, Yu VF (2018) Multi-objective fixed-charge transportation problem with random rough variables. Int J Uncertainty Fuzziness Knowl Based Syst 26(6):971–996

Roy SK, Midya S (2019) Multi-objective fixed-charge solid transportation problem with product blending under intuitionistic fuzzy environment. Appl Intell 49(10):3524–3538

Roy SK, Midya S, Weber GW (2019) Multi-objective multi-item fixed-charge solid transportation problem under twofold uncertainty. Neural Comput Appl 31(12):8593–8613

Sakawa M, Katagiri H, Matsui T (2012) Fuzzy random bilevel linear programming through expectation optimization using possibility and necessity. Int J Mach Learn Cybernet 3(3):183–192

Singh SK, Yadav SP (2016) A new approach for solving intuitionistic fuzzy transportation problem of type-2. Ann Oper Res 243:349–363

Steuer RE, Choo EU (1983) An interactive weighted Tchebycheff procedure for multiple objective programming. Math Program 26(3):326–344

Tzeng GH, Huang JJ (2013) Fuzzy multiple objective decision making. CRC, Boca Raton

Upmanyu M, Saxena RR (2016) On solving a multi-objective fixed charge problem with imprecise fractional objectives. Appl Soft Comput 40:64–69

Wang F, Lai X, Shi N (2011) A multi-objective optimization for green supply chain network design. Decis Support Syst 51:262–269

Ye J (2011) Expected value method for intuitionistic trapezoidal fuzzy multicriteria decision-making problems. Expert Syst Appl 38:11730–11734

Yu FV, Hu KJ, Chang AY (2015) An interactive approach for the multi-objective transportation problem with interval parameters. Int J Prod Res 53(4):1051–1064

Tsao YC, Linh VT, Lu JC, Yu FV (2018) A supply chain network with product remanufacturing and carbon emission considerations: a two-phase design. J Intell Manuf 29(3):693–705

Zavardehi SMA, Nezhad SS, Moghaddam RT, Yazdani M (2013) Solving a fuzzy fixed charge solid transportation problen by metaheuristics. Fuzzy Sets Syst 57:183–194

Zhang B, Peng J, Li S, Chen L (2016) Fixed charge solid transportation problem in uncertain environment and its algorithm. Comput Ind Eng 102:186–197

Zimmermann HJ (1987) Fuzzy sets, decision making and expert systems. Kluwer Academic, Boston

Zhao S, Liang C, Zhang J (2017) Some intuitionistic trapezoidal fuzzy aggregation operators based on Einstein operations and their application in multiple attribute group decision making. Int J Mach Learn Cybernet 8(2):547–569