Intuitionistic Fuzzy Multicriteria Group Decisionmaking Approach to Quality Clay-Brick Selection Problems Based on Grey Relational Analysis

This paper presents quality Clay-Brick selection process based on intuitionistic fuzzy multi criteria group decision making through grey relational analysis. Brick plays an important role in construction field. Intuitionistic fuzzy weighted averaging operator is used to aggregate individual opinions of decision makers into a group opinion. Six criteria are considered for selection process and the criteria are obtained from expert opinions. The criteria are namely solidity, color, size and shape, strength of Brick, cost of Bricks and carrying cost. Weights of the criteria are obtained from domain experts by using a questionnaire. The rating of an alternative with respect to certain criterion offered by decision maker is represented by linguistic variable that can be expressed by intuitionistic fuzzy sets. An intuitionistic fuzzy set, which is characterized by membership function (degree of acceptance), non-membership function (degree of rejection) and the degree of indeterminacy or the degree of hesitancy, is a more general and suitable way to deal with imprecise information. Grey relational analysis is used for ranking and selection of alternatives. An illustrative numerical example for quality Brick selection is solved to show the effectiveness of the proposed model.

[1]  Jennifer Shang,et al.  Decision making in academia: A case of the dean selection process , 2007, Math. Comput. Model..

[2]  B. Giri,et al.  Entropy Based Grey Relational Analysis Method for Multi- Attribute Decision Making under Single Valued Neutrosophic Assessments , 2014 .

[3]  E. Ertugrul Karsak,et al.  Personnel Selection Using a Fuzzy MCDM Approach Based on Ideal and Anti-ideal Solutions , 2001 .

[4]  San-yang Liu,et al.  A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection , 2011, Expert Syst. Appl..

[5]  Metin Dagdeviren,et al.  A hybrid multi-criteria decision-making model for personnel selection in manufacturing systems , 2010, J. Intell. Manuf..

[6]  Ioannis K. Vlachos,et al.  Intuitionistic fuzzy information - Applications to pattern recognition , 2007, Pattern Recognit. Lett..

[7]  Huawen Liu,et al.  Multi-criteria decision-making methods based on intuitionistic fuzzy sets , 2007, Eur. J. Oper. Res..

[8]  J W Hedge,et al.  Personnel selection. , 1997, Annual review of psychology.

[9]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[10]  J. Deng,et al.  Introduction to Grey system theory , 1989 .

[11]  Jun Ye.  Single valued neutrosophic cross-entropy for multicriteria decision making problems , 2014 .

[12]  Michael A. Campion,et al.  Structured Interviewing: Raising the Psychometric Properties of the Employment Interview. , 1988 .

[13]  Zun-Quan Xia,et al.  Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets , 2007, J. Comput. Syst. Sci..

[14]  Diyar Akay,et al.  A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method , 2009, Expert Syst. Appl..

[15]  Mao-Jiun J. Wang,et al.  Personnel selection using fuzzy MCDM algorithm , 1994 .

[16]  Zeshui Xu,et al.  Intuitionistic Fuzzy Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

[17]  B. Giri,et al.  A New Methodology for Neutrosophic Multi-attribute Decision-making with Unknown Weight Information , 2014 .

[18]  E. Ertugrul Karsak,et al.  A fuzzy MCDM approach for personnel selection , 2010, Expert Syst. Appl..

[19]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[20]  Jun Ye,et al.  Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment , 2013, Int. J. Gen. Syst..

[21]  James E. Campion,et al.  The employment interview: A summary and review of recent research. , 1982 .

[22]  A. Beamish,et al.  Village-level brickmaking. , 1989 .

[23]  Helmut Lauterjung,et al.  Planning of intake structures : a publication of Deutsches Zentrum für Entwicklungstechnologien-GATE in Deutsche Gesellschaft für Technische Zusammenarbeit(GTZ) GmbH , 1989 .

[24]  Florentin Smarandache,et al.  Neutrosophic set - a generalization of the intuitionistic fuzzy set , 2004, 2006 IEEE International Conference on Granular Computing.

[25]  Pramanik Surapati,et al.  Grey Relational Analysis based Intuitionistic Fuzzy Multi-Criteria Group Decision-Making Approach for Teacher Selection in Higher Education , 2011 .

[26]  Saadettin Erhan Kesen,et al.  A fuzzy AHP approach to personnel selection problem , 2009, Appl. Soft Comput..