Hershey, Pennsylvania

New York, New YorkBeijing, China

Special Offers
- Emerging Topic e-Book Collections
  Acquire highly focused and affordable Cutting-Edge Peer-Reviewed Research Content through a selection of 20 topic-focused e-Book Collections discounted up to 90%, compared to list prices. Collection topics include Artificial Intelligence, Data Science, Language Learning, Marketing and Customer Relations, Sustainability, and many more. Hosted on the InfoSci^® platform, these collections feature no DRM, no additional cost for multi-user licensing, no embargo of content, full-text PDF & HTML format, and more.
  Learn More
- Open Access Book (Free Access) - Encyclopedia of Information Science and Technology, Sixth Edition (ISBN: 9781668473665)
  The Encyclopedia of Information Science and Technology, Sixth Edition) continues the legacy set forth by the first five editions by providing comprehensive coverage and up-to-date definitions of the most important issues, concepts, and trends pertaining to technological advancements and information management within a variety of settings and industries. The entire book is being published under open access.
  Read Now
- Open Access Book (Free Access) - Food Sustainability, Environmental Awareness, and Adaptation and Mitigation Strategies for Developing Countries (ISBN: 9781668456293)
  Food Sustainability, Environmental Awareness, and Adaptation and Mitigation Strategies for Developing Countries provides information on the recent technology, mitigation, and environmental protection that must be applied for food sustainability in developing countries. This book is being published under Platinum Open Access through funding from Diponegoro University, Indonesia.
  Read Now
- Open Access Book (Free Access) - New Models of Higher Education: Unbundled, Rebundled, Customized, and DIY (ISBN: 9781668438091)
  The Walmart Corporation and the Lumina Foundation have provided funding to make New Models of Higher Education: Unbundled, Rebundled, Customized, and DIY fully open access, completely removing any paywall between scholars in education and the latest research on new models for the future of higher education.
  Read Now
- Open Access Book (Free Access) - Handbook of Research on the Global View of Open Access and Scholarly Communications (ISBN: 9781799898054)
  Through a collaboration between IGI Global Scientific Publishing and the University of North Texas, the Handbook of Research on the Global View of Open Access and Scholarly Communications has been published as fully open access, completely removing any paywall between researchers of any field, and the latest research on the equitable and inclusive nature of Open Access and all of its complications.
  Read Now
Books
- - Books by Subject
  - Business, Administration, & Management
  - Scientific, Technical, & Medical (STM)
  - Education & Social Sciences
  - Books by Field
Journals
- - Journals
  - OnDemand Journal Articles
  - Journals by Subject
  - Business, Administration, & Management
  - Scientific, Technical, & Medical (STM)
  - Education & Social Sciences
  - Journals by Field
e-Collections
OnDemand
Open Access
- View All Open Access Opportunities
  Search across all available IGI Global Scientific Publishing open access publishing opportunities to unleash your research potential.
  Find an Open Access Journal for Your Next Manuscript
  Search across all available IGI Global Scientific Publishing open access publishing opportunities to unleash your research potential.
  Submit an Open Access Book Proposal
  Learn more about open access book publishing and how it can propel your research forward in the field.
  Convert Your Work to Open Access
  Already published? You can convert your work to open access to increase its impact through the IGI Global Scientific Publishing Restrospective Open Access Program.
  Utilize Open Access Collection Database
  Open up your research potential by utilizing our open access content or integrating the open access collection into your library
  Consider Open Access Agreements
  For Libraries: consider no-cost or investment-level open access agreements with IGI Global Scientific Publishing to support your faculty's research endeavors.
  Search Funding Resources
  Looking for additional funding resources to support your open access endeavors? View industry resources compiled by our open access team.
  Review Open Access Policies & Ethical Guidelines
  Considering IGI Global Scientific Publishing to publish your work under open access? Review the IGI Global Scientific Publishing open access policies and ethical guidelines
Publish with Us
Resources
- - Instructors
  - Course Adoption
  - Teaching Cases
  - K-12 Online Learning Collection
  - Authors and Editors
  - eEditorial Discovery^® System
  - Peer Review Process
  - Ethics and Malpractice
  - COPE Membership
  - Fair Use Policy
  - Open Access Publishing
  - FAQ
Catalogs
About Us

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:

(Individual Articles)

Available

$37.50

Current Special Offers

No Current Special Offers

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

Top

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 .