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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국지능시스템학회 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol.20 No.4
- 발행연도
- 2020.12
- 수록면
- 316 - 323 (8page)
- DOI
- 10.5391/IJFIS.2020.20.4.316
이용수
초록· 키워드
오류제보하기
Interval-valued fuzzy graphs (IVFGs) are a generalization of fuzzy graphs. In this article, the sum distance between vertices in an IVFG is introduced. This definition satisfies the metric properties. In addition, some important aspects related to eccentricity, radius, and diameter are proved. The necessary and sufficient conditions for a vertex to be eccentric are established. The relationship between eccentricities and the sum distance between two vertices is derived. An algorithm is presented to determine the sum distance between two vertices in interval-valued fuzzy graphs. Furthermore, some related theorems for the complete IVFG are deduced.
목차
Abstract
1. Introduction
2. Preliminaries
3. Sum Distance in IVFGs
4. Conclusions
References
참고문헌 (28)
참고문헌 신청
L.A. Zadeh / 1965 / Fuzzy sets / Information and Control 8(3):338~353
A. Rosenfeld / 1975 / Fuzzy Sets and their Applications to Cognitive and Decision Processes / Academic Press :77~95
P Bhattacharya / 1987 / Some remarks on fuzzy graphs / Pattern Recognition Letters 6(5):297~302
M. S. Sunitha / 1998 / Some metric aspects of fuzzy graphs / Proceedings of the Conference on Graph Connections :111~114
S. Samanta / 2011 / Fuzzy tolerance graphs / International Journal of Latest Trends in Mathematics 1(2):57~67
A. Rosenfeld / 1975 / Fuzzy Sets and their Applications to Cognitive and Decision Processes / Academic Press :77~95
P Bhattacharya / 1987 / Some remarks on fuzzy graphs / Pattern Recognition Letters 6(5):297~302
M. S. Sunitha / 1998 / Some metric aspects of fuzzy graphs / Proceedings of the Conference on Graph Connections :111~114
S. Samanta / 2011 / Fuzzy tolerance graphs / International Journal of Latest Trends in Mathematics 1(2):57~67
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