A Scientific Decision Framework for Supplier Selection under Interval Valued Intuitionistic Fuzzy Environment

Table 1

Survey on supplier selection under IVIF environment from 2013 to 2016.

Ref #	Year	Aggregation	Fuzzy methods	Application(s)	Discussion
[2]	2016	Yes	IVIF based ranking	Supplier selection	Linguistic terms were converted to IVIF terms and aggregation was performed to fuse different opinions into a single matrix. TOPSIS method was used for criteria weight estimation. Finally, ranking is done using linear programming model and SS example is used to demonstrate the practicality.
[38]	2016	No	IVIF based ranking	Supplier selection	A new framework was proposed to select suitable business intelligent system supplier under IVIF domain. Criteria weights were estimated using ordered pairwise comparison method and weight of experts was determined using entropy method. A new algorithm was used for ranking suppliers and its practicality was tested using SS example.
[39]	2016	No	IVIF based ranking	Green supplier selection	IVIF terms were used for evaluation. Delphi method was used for choosing criteria for SS. Ranking was done using Choquet integral and fuzzy measures.
[40]	2016	Yes	IVIF based ranking	Supplier selection	IVIF terms were used for rating suppliers. AHP method was used for estimation of criteria weights and TOPSIS method was extended to IVIF domain for ranking suppliers. Preference values were aggregated using weighted arithmetic operator under interval domain.
[41]	2015	Yes	IVIF based ranking	Supplier selection	The DMs gave their preferences in IVIF fashion. Criteria and DMs weights were calculated using cross entropy measures and ranking of suppliers was done using optimization mechanism.
[42]	2015	No	IVIF based ranking	Green supplier selection	Heterogeneous set of terms were used for evaluation. IVIF based LINMAP approach was used for ranking of suppliers. Criteria weights were also determined using fuzzy programming model.
[34]	2014	Yes	IVIF based ranking	Supplier selection	IVIF information was used for rating suppliers. ELECTRE 1 was extended to IVIF domain for ranking suppliers. Score and accuracy were used for estimating concordance and discordance matrix. Criteria weights were calculated using entropy method.
[43]	2013	No	IVIF based ranking	Supplier selection	Heterogeneous values were used for evaluation of suppliers. LINMAP method was extended to IVIF domain and new distance measure was adopted to rank suppliers.
[44]	2013	Yes	Dynamic fuzzy set (DFS) based ranking	Supplier selection	The preferences were made in DFS fashion. The proposal discusses few weight models and ranking was done using a newly proposed DFS function. DFS was compared with IVIF over SS example and the power of DFS was realized.
[45]	2013	Yes	IVIF based ranking	Supplier selection	A new decision framework was proposed under IVIF domain for SS. The input to the framework was assessment in the form of IFVs and ranking was done using aggregated index.
[46]	2013	No	IVIF based ranking	Supplier selection	Heterogeneous information was used to rate suppliers. The LINMAP method was extended over IVIF and distance measure was used to rank suppliers. Criteria weights were calculated using fuzzy optimization model.
[47]	2013	No	IVIF based ranking	Supplier selection	The DMs rate the suppliers using IVIF values. The criteria weights were determined using newly proposed entropy measures. Ranking was also done using score and accuracy methods.
[48]	2013	No	IVIF based ranking	Supplier selection	The DMs adopt IVIF information to rate suppliers. The criteria were weighed using cotangent function based entropy measure. Ranking of suppliers was done using score and accuracy function and suitable supplier was selected for the job.
[49]	2013	Yes	IVIF based ranking	Supplier selection	IVIF information was used by the DM to gauge suppliers. A new aggregation method was proposed under IVIF environment for fusing preferences and final ranking was done using this method. Power of the proposed model was validated using sensitivity analysis and results infer better practicality and robustness of the model.
[50]	2013	No	IVIF based ranking	Supplier selection	IVIF values were used for rating. Criteria weights were estimated using AHP method and VIKOR was extended to IVIF for ranking suppliers.