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

Table 7

Characteristics of different IVIF based ranking methods.

Characteristics	IVIFE	IVIFV [52]	IVIFP [28]	IVIFE [34]
Type of input	Interval values	Interval values	Interval values are initially used and these are converted to IFS using mean operator	Interval values
Total preorder	Yes	Yes	Yes	Yes
Criteria weights	Given by DM	Given by DM	Given by DM	Given by DM
Concept adopted	Pareto dominance	Compromise solution	Preference function	Pareto dominance
Algorithm feature	Concordance and discordance measure	Ideal solution	Preference and indifference measure	Concordance and discordance measure
Metric adopted	Three categories of outranking relation	metric	Partial and total outranking	Two categories of outranking relation
Ranking procedure	Concordance and discordance matrices for both lower and upper bounds are constructed under all three categories. Finally, TOPSIS is used for linear ranking	Group utility, individual regret, and merit function are determined for both lower and upper bounds and finally linear ranking is obtained using ranking measures	Score measure is used along with function to form preference relations. Finally, linear ranking is obtained using partial and total ranking order	Score measure is used for the construction of concordance and discordance matrices. Single valued matrices are processed to obtain linear ranking using TOPSIS method
Ranking category	Outranking	Utility	Outranking	Outranking
Fuzziness handled	Better because the estimation is done in three levels and interval values are retained till the final stage of ranking	Normal	Normal	Weak because the estimation is done only in two levels and interval values are initially converted into single valued terms using score measure
Alternative chosen