Special Offers
- Acquire a Source of Open Access (OA) APC Funding for Your Institution Through
  IGI Global's OA Fee Waiver (Offset Model) Initiative
  For any library that invests in IGI Global's InfoSci-Books and/or InfoSci-Journals databases, IGI Global will match the library’s investment with a fund of equal value to go toward subsidizing the OA APCs for their faculty patrons when their work is submitted/accepted under OA into an IGI Global journal.
  Learn More
- Subscribe to the Latest Research Through IGI Global's InfoSci-OnDemand Plus
  InfoSci®-OnDemand Plus, a subscription-based service, provides researchers the ability to access full-text content from over 100,000+ peer-reviewed book chapters and 25,000+ scholarly journal articles that spans across 350+ topics in 11 core subjects. Users can select articles or chapters that meet their interests and gain access to the full content permanently in their personal online InfoSci-OnDemand Plus library.
  Subscribe
- Purchase the Encyclopedia of Information Science and Technology, Fourth Edition
  and Receive Complimentary E-Books of Previous Editions
  When ordering directly through IGI Global's Online Bookstore, receive the complimentary e-books for the first, second, and third editions with the purchase of the Encyclopedia of Information Science and Technology, Fourth Edition e-book.
  Purchase
- Create a Free IGI Global Library Account to Receive a 25% Discount on All Purchases
  Exclusive benefits include one-click shopping, flexible payment options, free COUNTER 5 reports and MARC records, and a 25% discount on single all titles, as well as the award-winning InfoSci^®-Databases.
  Sign Up Now!
- Discounted Titles Only Available through IGI Global’s Online Bookstore
  Take 20% off all publications purchased directly through the IGI Global Online Bookstore.
  
  Shop Now
Books
Journals
InfoSci^®-Databases
Articles/Chapters
Publish with Us
Resources
- - Instructors
  - Course Adoption
  - Teaching Cases
  - Researchers
  - Browse Books
  - Browse Journals
  - Streaming Videos
  - OnDemand Downloads
  - Webinars
  - Authors and Editors
  - eEditorial Discovery^® System
  - Peer Review Process
  - Ethics and Malpractice
  - Fair Use Policy
  - Copy Editing Service
  - FAQ
  - Distributors
  - Distributor Resources
  - Book Distributors
  - Journal Subscription Agencies
  - E-Resource Partners
Catalogs
About Us
Newsroom

Interval Cut-Set of Generalized Interval-Valued Intuitionistic Fuzzy Sets

Amal Kumar Adak (Vidyasagar University, India), Monoranjan Bhowmik (Vidyasagar Teacher’s Training College, India) and Madhumangal Pal (Vidyasagar University, India)

Source Title: International Journal of Fuzzy System Applications (IJFSA) 2(3)

DOI: 10.4018/ijfsa.2012070103

OnDemand PDF Download:

$30.00

List Price: $37.50

Abstract

In this paper, some different types of interval cut-set of genaralized interval-valued intuitionistic fuzzy sets (GIVIFSs), complement of these cut-sets are introduced. Some properties of those cut-set of GIVIFSs are investigated. Also three decomposition theorems of GIVIFSs are obtained based on the different cut-set of GIVIFSs. These works can also be used in setting up the basic theory of GIVIFSs.

Article Preview

Preliminaries

In this section, the concept of interval arithmetics are recalled. Let be the set of all closed subintervals of the interval . An interval on , say , is a closed subinterval of i.e., where and are lower and upper limits of respectively and satisfy the condition . For any two interval and where and then (i) , , (ii) , and (iii) , and .