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Ayşe Kılıç Atılım University Industrial Engineering Department

Selection of an Office for Atılım University Alumni Association Using the Fuzzy Analytic Hierarchy Process (FAHP). Ayşe Kılıç Atılım University Industrial Engineering Department. Contents. Why MCDM? Why AHP? Why Fuzzy AHP? Hierarchical Model of an Office Selection Applied Steps

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Ayşe Kılıç Atılım University Industrial Engineering Department

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  1. Selection of an Office for Atılım University Alumni Association Using the Fuzzy Analytic Hierarchy Process (FAHP) Ayşe Kılıç Atılım University Industrial Engineering Department

  2. Contents • Why MCDM? • Why AHP? • Why Fuzzy AHP? • Hierarchical Model of an Office Selection • Applied Steps • Findings & Results • Conclusion

  3. Why MCDM? • To be able to make the optimum selection, • To have complete and reliable information regarding specifications, alternatives and outcomes (Zucca et al., 2008; Chang et al., 2008; Witlox, 2005), • To prevent the conflicting of several factors.

  4. Why AHP? • Ranks the decision alternatives and selects the best one (Taylor, 2004) • Has the convenience in handling both qualitative and quantitative criteria of MCDM problems based on DM’S judgments • Well-known method for solving decision-making problems, • One of the best ways for deciding among the complex criteria structure in different levels, • Maps the DM’s perception in choosing the superior alternative, • Provides hierarchical structure, • Facilitates decomposition and pair-wise comparison, • Reduces inconsistency, • Generates priority vectors.

  5. Why Fuzzy AHP? • Reflects human thinking in that it uses approximate information and uncertainty to generate decisions (Kahraman et al., 2004), • Deals with the uncertainty due to imprecision and vagueness, • Has the capability of representing vague data, • Allows DM’s to express approximate or flexible preferences using FN, • Considers the inherent uncertainty in such decisions, • Achieves more flexibility in judgment and decision-making (Zadeh, 1965).

  6. Definition of Criteria • Parking • Rent • M2 • Number of rooms • Type of the residence • Easiness of transportation • Security

  7. Hierarchical Modelof an Office Selection Factors Atılım-MED Office Selection Criterion 1 Criterion 2 Criterion 3 Criterion 4 Criterion 5 Criterion 6 Criterion 7 Alt. 1 Alt. 2 Alt. 3 Alt. 4

  8. Pair-wise Matrices for Each Criterion Sub-Factors Alternatives

  9. Steps Of Fuzzy AHP Step 1: Formation of the Decision Matrices

  10. Steps Of Fuzzy AHP Step 2: Determination of Fuzzy Comparison Matrix (Cox, 1995) Al, Am, Au are calculated.

  11. Steps Of Fuzzy AHP Step 3: Calculation of (Chang, 1992)

  12. Steps Of Fuzzy AHP Step 4: Calculation of =(7.312901 , 8.854325 , 10.352020 )

  13. Steps Of Fuzzy AHP Step 5: Calculation of

  14. Steps Of Fuzzy AHP Step 6: Defuzzification, calculation of Win These steps from 1 to 6 will be applied for also to the alternatives in terms of each criterion.

  15. Priorities of Factors Weights of Factors in terms of Alternatives ×

  16. Findings & Results W2>W3>W1>W4 Select the area of 2.

  17. Methodology Used The area 2 is the most appropriate alternative for the Atılım-MED office while 7 criteria is considered.

  18. Conclusion • There exists subjectivity / uncertainty • Taking the fuzziness into account reduce the risk • The optimum/less risky decision is determined • Other MCDM methods such as TOPSIS, ELECTRE, etc.

  19. Thank You • akilic@atilim.edu.tr • Ayşe Kılıç • Atılım University • Industrial Engineering Department

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