论文信息 - Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making

Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making

We propose the theory of possibility intuitionistic fuzzy soft expert theory and define some related concepts pertaining to this notion as well as the basic operations on this concept, namely, the complement, union, intersection, AND, and OR. The basic properties and relevant laws pertaining to this concept such as De Morgan’s laws are proved. Lastly, a generalized algorithm is introduced and applied to the concept of possibility intuitionistic fuzzy soft expert sets in hypothetical decision making problem.

Abdul Razak Salleh | Ganeshsree Selvachandran | Ganeshsree Selvachandran | A. R. Salleh

[1] Shawkat Alkhazaleh,et al. Possibility Intuitionistic Fuzzy Soft Set , 2012, Adv. Decis. Sci..

[2] A. R. Salleh,et al. Fuzzy Parameterized Interval-Valued Fuzzy Soft Set , 2011 .

[3] Khaleed Alhazaymeh,et al. POSSIBILITY VAGUE SOFT SET AND ITS APPLICATION IN DECISION MAKING , 2012 .

[4] J. Craggs. Applied Mathematical Sciences , 1973 .

[5] Shawkat Alkhazaleh,et al. Soft Expert Sets , 2011, Adv. Decis. Sci..

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

[7] D. Molodtsov. Soft set theory—First results , 1999 .

[8] Abdul Razak Salleh,et al. Fuzzy parameterized soft expert set , 2012 .

[9] Nasruddin Hassan,et al. Possibility Fuzzy Soft Set , 2011, Adv. Decis. Sci..

[10] Keon-Myung Lee,et al. Comparison of Interval-valued fuzzy sets, Intuitionistic fuzzy sets, and bipolar-valued fuzzy sets , 2004 .

[11] Khaleed Alhazaymeh,et al. Vague soft expert set theory , 2013 .

[12] Pabitra Kumar Maji,et al. FUZZY SOFT SETS , 2001 .

[13] Abdul Razak Salleh,et al. Possibility Vague Soft Expert Set Theory and Its Application in Decision Making , 2015, SCDS.

[14] Deng-feng Li,et al. Intuitionistic Fuzzy Soft Set , 2010, 2010 2nd International Workshop on Intelligent Systems and Applications.

[15] Athar Kharal,et al. On Fuzzy Soft Sets , 2009, Adv. Fuzzy Syst..