Multi-Attribute Decision-Making Based on Prioritized Aggregation Operator under Hesitant Intuitionistic Fuzzy Linguistic Environment

Abstract

Abstract:A hesitant intuitionistic fuzzy linguistic set (HIFLS) that integrates both qualitative and quantitative evaluations is an extension of the linguistic set, intuitionistic fuzzy set (IFS), hesitant fuzzy set (HFS) and hesitant intuitionistic fuzzy set (HIFS). It can describe the qualitative evaluation information given by the decision-makers (DMs) and reflect their uncertainty. In this article, we defined some new operational laws and comparative method for HIFLSs. Then, based on these operations, we propose two prioritized aggregation (PA) operators for HIFLSs: prioritized weighted averaging operator for HIFLSs (HIFLPWA) and prioritized weighted geometric operator for HIFLSs (HIFLPWG). Based on these aggregation operators, an approach for multi-attribute decision-making (MADM) is developed under the environment of HIFLSs. Finally, a practical example is given to show the practicality and effectiveness of the developed approach by comparing with the other representative methods.

A Multi-Attribute Decision Making Process with Immediate Probabilistic Interactive Averaging Aggregation Operators of T-Spherical Fuzzy Sets and Its Application in the Selection of Solar Cells

“…Apart from these, many other researchers have presented the different kinds of the aggregation operators and their application to decision making process. For more details, we refer to other studies [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

“…The given information can be written as T-spherical fuzzy information and is henceforth summarized in Table 15. The weight vector for attributes will be w = {0.25, 0.40, 0.35} and fuzzy measures are as defined in [41]: Immediate probabilities and associated immediate probabilities for all possible orders are computed in Tables 16 and 17, respectively. As 0.6 + 0.0 + 0.3 = 0.9 ∈ [0, 1] for t = 1, all values lie in T-SFSs.…”

MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators

“…However, despite the complication of the decision situation, it is hard for DMs to convey the partiality values by a particular real number in realistic problems. To agree with such circumstances, an intuitionistic fuzzy set (IFS) initiated by Atanassov [1] is one of the most promising simplifications of the fuzzy set (FS) initiated by Zadeh [2] to articulate unsure and inaccurate information perfectly [3][4][5]. Yet, in several circumstances, only a positive-membership degree (TMD) and negative-membership degree (FMD) cannot depict the incompatible information precisely.…”

Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications

“…Ye et al [8] proposed correlation co-efficients for normal neutrosophic numbers, and applied them to MADM. Liu et al [9][10][11] proposed prioritized aggregation operators and power Heronian-mean aggregation operators for hesitant interval neutrosophic sets, hesitant intuitionistic fuzzy sets, and linguistic neutrosophic sets, and applied them to MADM and multiple attribute group decision making (MAGDM).…”