國立虎尾科技大學 |

Deriving priorities from incomplete fuzzy reciprocal preference relations = theories and methodologies /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Deriving priorities from incomplete fuzzy reciprocal preference relations/ by Yejun Xu.
其他題名:	theories and methodologies /
作者:	Xu, Yejun.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	xi, 174 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Computer Science Logic and Foundations of Programming. -
電子資源:	https://doi.org/10.1007/978-981-99-3169-9
ISBN:	9789819931699

Deriving priorities from incomplete fuzzy reciprocal preference relations = theories and methodologies /
Xu, Yejun.

Deriving priorities from incomplete fuzzy reciprocal preference relationstheories and methodologies /[electronic resource] :by Yejun Xu. - Singapore :Springer Nature Singapore :2023. - xi, 174 p. :ill., digital ;24 cm.

Chapter 1. Introduction -- Chapter 2. Normalizing Rank Aggregation-based Method -- Chapter 3. Eigenvector Method -- Chapter 4. Logarithmic Least Squares Method -- Chapter 5. A Chi-Square Method -- Chapter 6. A Least Deviation Method -- Chapter 7. Priorities from Fuzzy Best Worst Method Matrix -- Chapter 8. Weighted Least Square Method -- Chapter 9. Priorities from Incomplete Hesitant Fuzzy Reciprocal Preference Relations.

As we know, multiplicative preference relations (or called pairwise comparisons in AHP) were proposed by Dr. Thomas L Saaty. One important work is to derive its priority from pairwise comparisons. It has been proposed many methods to derive priority for multiplicative preference relation. On the basis of fuzzy sets, the fuzzy reciprocal preference relation is proposed and is extended to the incomplete contexts. However, how to derive the priorities from incomplete fuzzy reciprocal preference relations is an interesting and challenging work. This book systematically presents the theories and methodologies for deriving priorities from incomplete fuzzy reciprocal preference relations. This book can be divided into three parts. In the first part, this book introduces the basic concepts of fuzzy reciprocal preference relations and incomplete fuzzy reciprocal preference relations. Then, two consistencies of complete fuzzy reciprocal preference relations are introduced: additive consistency and multiplicative consistency. Then, the relationships between the fuzzy reciprocal elements and the weights are showed. Afterward, in the second part, different priority methods are presented. The inconsistency repairing procedures are also proposed. Last, the priority method for incomplete hesitant fuzzy reciprocal preference relations is presented. This book can be used as a reference for researchers in the areas of management science, information science, systems engineering, operations research, and other relevant fields. It can also be employed as a textbook for upper-level undergraduate students and graduate students.

ISBN: 9789819931699

Standard No.: 10.1007/978-981-99-3169-9doiSubjects--Topical Terms:

1365757
Computer Science Logic and Foundations of Programming.

LC Class. No.: QA248

Dewey Class. No.: 511.3223

Deriving priorities from incomplete fuzzy reciprocal preference relations = theories and methodologies /
LDR:03062nam a2200325 a 4500 001 1105685
003 DE-He213
005 20230619103259.0
006 m d
007 cr nn 008maaau
008 231013s2023 si s 0 eng d
020 $a 9789819931699 $q (electronic bk.)
020 $a 9789819931682 $q (paper)
024 7 $a 10.1007/978-981-99-3169-9 $2 doi
035 $a 978-981-99-3169-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA248
072 7 $a UYQ $2 bicssc
072 7 $a COM004000 $2 bisacsh
072 7 $a UYQ $2 thema
082 0 4 $a 511.3223 $2 23
090 $a QA248 $b .X8 2023
100 1 $a Xu, Yejun. $3 1414825
245 1 0 $a Deriving priorities from incomplete fuzzy reciprocal preference relations $h [electronic resource] : $b theories and methodologies / $c by Yejun Xu.
260 $a Singapore : $c 2023. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a xi, 174 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter 1. Introduction -- Chapter 2. Normalizing Rank Aggregation-based Method -- Chapter 3. Eigenvector Method -- Chapter 4. Logarithmic Least Squares Method -- Chapter 5. A Chi-Square Method -- Chapter 6. A Least Deviation Method -- Chapter 7. Priorities from Fuzzy Best Worst Method Matrix -- Chapter 8. Weighted Least Square Method -- Chapter 9. Priorities from Incomplete Hesitant Fuzzy Reciprocal Preference Relations.
520 $a As we know, multiplicative preference relations (or called pairwise comparisons in AHP) were proposed by Dr. Thomas L Saaty. One important work is to derive its priority from pairwise comparisons. It has been proposed many methods to derive priority for multiplicative preference relation. On the basis of fuzzy sets, the fuzzy reciprocal preference relation is proposed and is extended to the incomplete contexts. However, how to derive the priorities from incomplete fuzzy reciprocal preference relations is an interesting and challenging work. This book systematically presents the theories and methodologies for deriving priorities from incomplete fuzzy reciprocal preference relations. This book can be divided into three parts. In the first part, this book introduces the basic concepts of fuzzy reciprocal preference relations and incomplete fuzzy reciprocal preference relations. Then, two consistencies of complete fuzzy reciprocal preference relations are introduced: additive consistency and multiplicative consistency. Then, the relationships between the fuzzy reciprocal elements and the weights are showed. Afterward, in the second part, different priority methods are presented. The inconsistency repairing procedures are also proposed. Last, the priority method for incomplete hesitant fuzzy reciprocal preference relations is presented. This book can be used as a reference for researchers in the areas of management science, information science, systems engineering, operations research, and other relevant fields. It can also be employed as a textbook for upper-level undergraduate students and graduate students.
650 2 4 $a Computer Science Logic and Foundations of Programming. $3 1365757
650 2 4 $a Design and Analysis of Algorithms. $3 1365721
650 2 4 $a Formal Languages and Automata Theory. $3 1365747
650 2 4 $a Information Model. $3 1391069
650 2 4 $a Models of Computation. $3 1365746
650 1 4 $a Artificial Intelligence. $3 646849
650 0 $a Fuzzy sets. $3 559335
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-99-3169-9
950 $a Computer Science (SpringerNature-11645)