# Multiple-Attribute Decision Making ELECTRE II Method under Bipolar Fuzzy Model
## 2 The BF-ELECTRE II Method
### Construction of Outranking Graphs
* Another limitation of this method is its great dependance on decision maker's choice for computing the important weights and threshold values. ## 6 Conclusions

Multiple-attribute decision making (MADM) provides valuable tools to deal with complex problems and make effective and convenient decisions. In this research article, we present a multiple-criteria decision making method named bipolar fuzzy ELECTRE II, which is proposed by joining the ELECTRE II method with bipolar fuzzy information to solve problems having bipolar uncertainties. The implementation and flexibility of the proposed method are explained through a step-by-step procedure. It was validated by real world problems, in which alternatives were ranked by following its methodology. The outranking relations, such as strong outranking relation and weak outranking relation, are established on the basis of bipolar fuzzy strong, median and weak concordance as well as discordance sets and indifferent set. An optimization technique based on maximizing deviation method is applied to compute the normalized weights of conflicting criteria. An iterative procedure is applied to rank the alternatives and find the best possible solution. We compared bipolar fuzzy ELECTRE II method with already existing MADM methods, such as bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE I, by solving the same problem of selecting a business location. The obtained results indicate that this method can be successfully adopted for multi-criteria decision making problems, not only giving an appropriate choice of action but also ranking the alternatives in ascending order. We aim to broaden our study to: (1) complex fuzzy ELECTRE II method; (2) complex bipolar neutrosophic ELECTRE III method; and (3) bipolar fuzzy ELECTRE III method. **Author Contributions:** Conceptualization, S.; Methodology, M.A. ; Visualization, A.N.A.-K.; Investigation, S., M.A. and A.N.A.-K.; Writing--original Draft Preparation, S. and M.A. ; and Writing--review and Editing, A.N.A.-K.

**Funding:** This research received no external funding. **Conflicts of Interest:** The authors declare no conflict of interest. ## References

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