NDLI: Priority Weight Intervals Derived From Intuitionistic Multiplicative Preference Relations

Content Provider	IEEE Xplore Digital Library
Author	Zeshui Xu
Copyright Year	1993
Abstract	An intuitionistic multiplicative preference relation was recently introduced by Xia et al. to characterize the preference information that is given by a decision maker over a set of objects. All the elements of the intuitionistic multiplicative preference relation are the 2-tuples, which can simultaneously depict the degree that one object is prior to another, and the degree that the object is not prior to another. Each part of the 2-tuples takes its value from the closed interval [1/9, 9], and thus can describe the decision maker's preferences over objects more comprehensively than the traditional multiplicative preference relation. How to derive the priority weights of the objects from an intuitionistic multiplicative preference relation is an important research topic for decision making with intuitionistic multiplicative preference information. In this paper, we shall focus on solving this issue. We first define the concepts of expected intuitionistic multiplicative preference relation, left and right error matrices, etc. Then based on the geometric aggregation operator and the error propagation formula, we derive the priority weight intervals from an intuitionistic multiplicative preference relation. After that, some approaches to decision making based on intuitionistic multiplicative preference relations are developed, and furthermore, two practical examples are given to illustrate our approaches.
Sponsorship	IEEE Computational Intelligence Society
Starting Page	642
Ending Page	654
Page Count	13
File Size	447752
File Format	PDF
ISSN	10636706
Volume Number	21
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Decision making Vectors Indexes Programmable logic arrays Educational institutions Iterative methods Robustness intuitionistic multiplicative preference relation error matrix error propagation geometric aggregation operator
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Control and Systems Engineering Computational Theory and Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A group decision making method considering both the consistency and consensus of intuitionistic multiplicative preference relations

Priorities of Intuitionistic Fuzzy Preference Relation Based on Multiplicative Consistency

Preference Relations Based on Intuitionistic Multiplicative Information

Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations (2004)

Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights

Framework of Group Decision Making With Intuitionistic Fuzzy Preference Information

Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations (2004)

Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations.

A Novel Approach for Group Decision-Making from Intuitionistic Fuzzy Preference Relations and Intuitionistic Multiplicative Preference Relations

Priority Weight Intervals Derived From Intuitionistic Multiplicative Preference Relations

Similar Documents

A group decision making method considering both the consistency and consensus of intuitionistic multiplicative preference relations

Priorities of Intuitionistic Fuzzy Preference Relation Based on Multiplicative Consistency

Preference Relations Based on Intuitionistic Multiplicative Information

Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations (2004)

Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights

Framework of Group Decision Making With Intuitionistic Fuzzy Preference Information

Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations (2004)

Induced ordered weighted geometric operators and their use in the aggregation of multiplicative preference relations.

A Novel Approach for Group Decision-Making from Intuitionistic Fuzzy Preference Relations and Intuitionistic Multiplicative Preference Relations

Priority Weight Intervals Derived From Intuitionistic Multiplicative Preference Relations