Consistency and priority of triangular fuzzy number complementary judgment matrix

Kongzhi yu Juece/Control and Decision

Volumn 21, Issue 8, 2006, Pages 903-907

  Gong, Zai Wu ^a   Liu, Si Feng ^a  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

Complementary judgment matrix; Complete consistency; Priority; Restricted max max transitivity; Triangular fuzzy number

Indexed keywords

COMPLEMENTARY JUDGMENT MATRIX; COMPLETE CONSISTENCY; LEAST SQUARE METHOD; PRIORITY; RESTRICTED MAX MAX TRANSITIVITY; TRIANGULAR FUZZY NUMBER;

MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR PROGRAMMING;

DECISION THEORY;

EID: 33749841835     PISSN: 10010920     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Saaty T L. The Analytic Hierarchy Process [M]. New York: McGraw-Hill, 1980.
2. Wang L F, Xu S B. The Introduction to the Analytic Hierarchy Process [M]. Beijing: The Chinese People University Publication House, 1990.
3. Tanino T. Fuzzy Preference Orderings in Group Decision Making [J]. Fuzzy Sets and Systems, 1984, 12 (1): 117-131.
4. Fan Z P, Jiang Y P, Xiao S H. Consistency of Judgment Matrix and Its Properties [J]. Control and Decision, 2001, 16 (1): 69-71.
5. Song G X, Yang D L. Two Kinds of Approaches for Determining the Priority Weight Vector of Fuzzy Judgment Matrix [J]. Systems Engineering-theory Methodology Applications, 2004, 13 (2): 161-166.
6. Wan Y C, Sheng Z H. The Analytic Hierarchy Process Based on the Unascertained Three-valued Judgments [J]. Systems Engineering-theory and Practice, 2004, 24 (12): 89-93.
7. Kwiesielelewicz M. A Note on the Fuzzy Extension of Satty's Priority Theory [J]. Fuzzy Sets and Systems, 1998, 95 (2): 161-172.
8. Jiang Y P, Fan Z P. A Ranking Method for Reciprocal Judgment Matrix with Triangular Fuzzy Numbers [J]. Systems Engineering and Electronics, 2002, 24 (7): 34-36.
9. Xu Z S. A Method for Priorities of Triangular Fuzzy Number Complementary Judgment Matrices [J]. Fuzzy Systems and Mathematics, 2003, 16 (1): 47-50.
10. Xu Z S. Priority Method of Triangular Fuzzy Number of Complementary Judgment Matrix [J]. J of Systems Engineering, 2004, 19 (1): 85-88.
11. Jiang Y P, Fan Z P. A Practical Ranking Method for Reciprocal Judgment Matrix with Triangular Fuzzy Numbers [J]. Systems Engineering, 2002, 20 (2): 89-92.