Solving New Product Selection Problem by a New Hierarchical Group Decision-making Approach with Hesitant Fuzzy Setting

Author

Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

Abstract

Selecting the most suitable alternative under uncertainty is considered as a critical decision-making problem that affects the success of organizations. In the selection process, there are a number of assessment criteria, considered by a group of decision makers, which often could be established in a multi-level hierarchy structure. The aim of this paper is to introduce a new hierarchical multiple criteria group decision-making (HMCGDM) approach in hesitant fuzzy setting based on the concept of compromise solutions. Motivated by hesitant fuzzy sets, Hamming distance measure is utilized in the process of the proposed hierarchical method, namely HF-HMCGDM, and also hesitant fuzzy weighted averaging operator is used to aggregate the judgments of experts or decision makers. Firstly, for assessing weights of criteria, a hesitant fuzzy hierarchical weighting method is developed. To rank the possible alternatives, a new hesitant fuzzy extension of the classical compromise solution method is then proposed. Furthermore, a case study in the new product ideas problem from the recent literature is provided to illustrate the proposed HF-HMCGDM approach, and finally a comparative analysis is given to demonstrate the capability.

Keywords

References

1.     Verworn, B., Herstatt, C. and Nagahira, A., "The fuzzy front end of japanese new product development projects: Impact on success and differences between incremental and radical projects", R&d Management,  Vol. 38, No. 1, (2008), 1-19.
2.     Velamuri, V. K., Schneckenberg, D., Haller, J. and Moeslein, K. M., "Open evaluation of new product concepts at the front end of innovation: Objectives and contingency factors", R&d Management,  (2015).
3.     Ozer, M., "Factors which influence decision making in new product evaluation", European Journal of Operational Research,  Vol. 163, No. 3, (2005), 784-801.
4.     Buyukozkan, G. and Feyzıoglu, O., "A fuzzy-logic-based decision-making approach for new product development", International Journal of Production Economics,  Vol. 90, No. 1, (2004), 27-45.
5.     Li, Y. and Zhu, K., "Information acquisition in new product introduction", European Journal of Operational Research,  Vol. 198, No. 2, (2009), 618-625.
6.     Michnik, J. and Nowak, M., "Interactive decision aiding technique for a new product selection problem", Studia Ekonomiczne,  Vol. 137, (2013), 53-68.
7.     Ma, J., Lu, J. and Zhang, G., "Decider: A fuzzy multi-criteria group decision support system", Knowledge-Based Systems,  Vol. 23, No. 1, (2010), 23-31.
8.     Sarı, I. U. and Kahraman, C., "New product selection using fuzzy linear programming and fuzzy monte carlo simulation", in International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Springer, (2012), 441-448.
9.     Guo, J.-j., YANG, Y. and Bao, B.-f., "New product selection of manufacturing enterprises based on fahp and ge matrix", Machinery,  Vol. 9, (2012), 005.
10.   Lin, C.-T. and Yang, Y.-S., "A linguistic approach to measuring the attractiveness of new products in portfolio selection", Group Decision and Negotiation,  Vol. 24, No. 1, (2015), 145-169.
11.   Relich, M. and Pawlewski, P., "A multi-agent system for selecting portfolio of new product development projects", in International Conference on Practical Applications of Agents and Multi-Agent Systems, Springer, (2015), 102-114.
12.   Li, C.-R. and Lin, C.-J., "New product adoption and sales performance from the importer perspective", Industrial Marketing Management,  Vol. 44, (2015), 98-106.
13.   Suresh, M., "Selection of new product: A case of clay-pot-refrigerator", in Industrial Engineering and Operations Management (IEOM), International Conference on, IEEE, (2015), 1-9.
14.   Klos, S., "Implementation of the ahp method in erp-based decision support systems for a new product development", in International Conference on Information and Software Technologies, Springer, (2015), 199-207.
15.   Bingham Jr, F. G., "New product development: An implementation model", in Proceedings of the 1988 Academy of Marketing Science (AMS) Annual Conference, Springer, (2015), 324-327.
16.   Mohagheghi, V., Mousavi, S. and Siadat, A., "Best product end-of-life scenario selection by a new decision-making process under atanassov fuzzy uncertainty", in Management of Innovation and Technology (ICMIT), IEEE International Conference on, IEEE, (2016), 313-317.
17.   Zadeh, L. A., "Fuzzy sets", Information and Control,  Vol. 8, No. 3, (1965), 338-353.
18.   Torra, V. and Narukawa, Y., "On hesitant fuzzy sets and decision", in Fuzzy Systems, FUZZ-IEEE, IEEE International Conference on, (2009), 1378-1382.
19.   Torra, V., "Hesitant fuzzy sets", International Journal of Intelligent Systems,  Vol. 25, No. 6, (2010), 529-539.
20.   Farhadinia, B., "A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems", International Journal of Intelligent Systems,  Vol. 28, No. 8, (2013), 752-767.
21.   Yu, D., Zhang, W. and Xu, Y., "Group decision making under hesitant fuzzy environment with application to personnel evaluation", Knowledge-Based Systems,  Vol. 52, (2013), 1-10.
22.   Wang, J. Q., Wang, D. D., yu Zhang, H. and Chen, X. H., "Multi-criteria outranking approach with hesitant fuzzy sets", OR Spectrum,  Vol. 36, No. 4, (2014), 1001-1019.
23.   Zhang, Y., Wang, Y. and Wang, J., "Objective attributes weights determining based on shannon information entropy in hesitant fuzzy multiple attribute decision making", Mathematical Problems in Engineering,  Vol. 2014, (2014).
24.   Rodriguez, R. M., Martinez, L., Torra, V., Xu, Z. and Herrera, F., "Hesitant fuzzy sets: State of the art and future directions", International Journal of Intelligent Systems,  Vol. 29, No. 6, (2014), 495-524.
25.   Mousavi, S. M., Gitinavard, H. and Siadat, A., "A new hesitant fuzzy analytical hierarchy process method for decision-making problems under uncertainty", in Industrial Engineering and Engineering Management (IEEM), IEEE International Conference on, (2014), 622-626.
26.   Gitinavard, H., Makui, A. and Jabbarzadeh, A., "Interval valued hesitant fuzzy method based on group decision analysis for estimating weights of decision makers", Journal of Industrial and Systems Engineering,  Vol. 9, No. 3, (2016), 96-110.
27.   Liu, P. and Wang, Y., "Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators", Applied Soft Computing, Vol. 17,  (2014), 90-104.
28.   Vahdani, B., Mousavi, S. M., Hashemi, H., Mousakhani, M. and Tavakkoli-Moghaddam, R., "A new compromise solution method for fuzzy group decision-making problems with an application to the contractor selection", Engineering Applications of Artificial Intelligence,  Vol. 26, No. 2, (2013), 779-788.
29.   Meng, F. and Zhang, Q., "Induced continuous choquet integral operators and their application to group decision making", Computers & Industrial Engineering,  Vol. 68, (2014), 42-53.
30.   Merigo, J. M., Casanovas, M. and Yang, J.-B., "Group decision making with expertons and uncertain generalized probabilistic weighted aggregation operators", European Journal of Operational Research,  Vol., 235, No., 1, (2014), 215-224.
31.   Rodriguez, R. M., Martı́nez, L. and Herrera, F., "A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets", Information Sciences,  Vol. 241, (2013), 28-42.
32.   Vahdani, B., Mousavi, S. M. and Tavakkoli-Moghaddam, R., "Group decision making based on novel fuzzy modified topsis method", Applied Mathematical Modelling,  Vol. 35, No. 9, (2011), 4257-4269.
33.   Chen, N., Xu, Z. and Xia, M., "Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis", Applied Mathematical Modelling,  Vol. 37, No. 4, (2013), 2197-2211.
34.   Xu, Z. and Xia, M., "Distance and similarity measures for hesitant fuzzy sets", Information Sciences,  Vol. 181, No. 11, (2011), 2128-2138.
35.   Xia, M. and Xu, Z., "Hesitant fuzzy information aggregation in decision making", International Journal of Approximate Reasoning,  Vol. 52, No. 3, (2011), 395-407.
36.   Farhadinia, B., "Distance and similarity measures for higher order hesitant fuzzy sets", Knowledge-Based Systems,  Vol. 55, (2014), 43-48.
37.   Xia, M., Xu, Z. and Chen, N., "Some hesitant fuzzy aggregation operators with their application in group decision making", Group Decision and Negotiation,  Vol. 22, No. 2, (2013), 259-279.
38.   Wei, G., "Hesitant fuzzy prioritized operators and their application to multiple attribute decision making", Knowledge-Based Systems,  Vol. 31, (2012), 176-182.
39.   Liao, H. and Xu, Z., "A vikor-based method for hesitant fuzzy multi-criteria decision making", Fuzzy Optimization and Decision Making,  Vol. 12, No. 4, (2013), 373-392.
40.   Zhang, N. and Wei, G., "Extension of vikor method for decision making problem based on hesitant fuzzy set", Applied Mathematical Modelling,  Vol. 37, No. 7, (2013), 4938-4947.
41.   Xu, Z. and Zhang, X., "Hesitant fuzzy multi-attribute decision making based on topsis with incomplete weight information", Knowledge-Based Systems,  Vol. 52, (2013), 53-64.
42.   Wei, G. and Zhang, N., "A multiple criteria hesitant fuzzy decision making with shapley value-based vikor method", Journal of Intelligent & Fuzzy Systems,  Vol. 26, No. 2, (2014), 1065-1075.
43.   Liao, H., Xu, Z. and Zeng, X.-J., "Hesitant fuzzy linguistic vikor method and its application in qualitative multiple criteria decision making", IEEE Transactions on Fuzzy Systems,  Vol. 23, No. 5, (2015), 1343-1355.
44.   Wu, S.-M., Liu, H.-C. and Wang, L.-E., "Hesitant fuzzy integrated mcdm approach for quality function deployment: A case study in electric vehicle", International Journal of Production Research,  (2016), 1-14.
45.   Ren, Z., Xu, Z. and Wang, H., "Dual hesitant fuzzy vikor method for multi-criteria group decision making based on fuzzy measure and new comparison method", Information Sciences,  Vol. 388, (2017), 1-16.
46.   Mousavi, S. M., Vahdani, B., Tavakkoli-Moghaddam, R., Ebrahimnejad, S. and Amiri, M., "A multi-stage decision-making process for multiple attributes analysis under an interval-valued fuzzy environment", The International Journal of Advanced Manufacturing Technology,  Vol. 64, No. 9-12, (2013), 1263-1273.
47.   Vahdani, B., Tavakkoli-Moghaddam, R., Mousavi, S. M. and Ghodratnama, A., "Soft computing based on new interval-valued fuzzy modified multi-criteria decision-making method", Applied Soft Computing,  Vol. 13, No. 1, (2013), 165-172.
48.   Gitinavard, H., Mousavi, S. and Vahdani, B., "A new balancing and ranking method based on hesitant fuzzy sets for solving decision-making problems under uncertainty", International Journal of Engineering-Transactions B: Applications,  Vol. 28, No. 2, (2014), 214-223.
49.   Opricovic, S., "Multi-criteria Optimization of Civil Engineering Systems, Faculty of civil engineering, belgrade", Table II The Performance Matrix, (1998).
50.   Opricovic, S. a. T., G.-H, "Multi-criteria planning of post earthquake sustainable reconstruction", Computer-Aided Civil and Infrastructure Engineering,  Vol. 17, (2002), 211–220.
51.   Gitinavard, H. and Zarandi, M. H. F., "A mixed expert evaluation system and dynamic interval-valued hesitant fuzzy selection approach", World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering,  Vol. 10, No. 7, (2016), 337-345.
52.   Mousavi, S. M., Torabi, S. A. and Tavakkoli-Moghaddam, R., "A hierarchical group decision-making approach for new product selection in a fuzzy environment", Arabian Journal for Science and Engineering,  Vol. 38, No. 11, (2013), 3233-3248.
53.   Opricovic, S. and Tzeng, G.-H., "Compromise solution by mcdm methods: A comparative analysis of vikor and topsis", European Journal of Operational Research,  Vol. 156, No. 2, (2004), 445-455.
International Journal of Engineering
Volume 30, Issue 5
TRANSACTIONS B: Applications
May 2017
Pages 729-738

Files

Share

How to cite

Statistics