The Basic Notions for (over, off, under) Neutrosophic Geometric Programming Problems

被引:0
|
作者
Khalid, Huda E. [1 ]
Smarandache, Florentin [2 ]
Essa, Ahmed K. [1 ]
机构
[1] Univ Telafer, President Off, Telafer, Iraq
[2] Univ New Mexico, 705 Gurley Ave, Gallup, NM 87301 USA
关键词
Neutrosophic Set (NS); Neutrosophic Geometric Programming (NGP); (Over; Off; Under) Neutrosophic Convex Set; (sleeves; neut-sleeves; anti-sleeves) of Neutrosophic Sets; Ideal Sleeves; (alpha; beta; gamma); -; cut; Strong; Excluded Middle Law; Decomposition Theorems;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Neutrosophic (over, off, under) set and logic were defined for the first time in 1995 by Florentin Smarandache, and presented during 1995-2018 to various national and international conferences and seminars. The (over, off, under) neutrosophic geometric programming was put forward by Huda et al. in (2016) [8], in an attempt to define a new type of geometric programming using (over, off, under) neutrosophic less than or equal to. This paper completes the basic notions of (over, off, under) neutrosophic geometric programming illustrating its convexity condition, and its decomposition theorems. The definitions of (alpha, beta, gamma) - cut and strong (alpha, beta, gamma) - cut are introduced, and some of their important properties are proved.
引用
收藏
页码:50 / 62
页数:13
相关论文
共 50 条
  • [21] A New Method for Solving Interval Neutrosophic Linear Programming Problems
    Nafei, Amirhossein
    Yuan, Wenjun
    Nasseri, Hadi
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2020, 33 (04): : 796 - 808
  • [22] Solving Non-linear Neutrosophic Linear Programming Problems
    Lachhwani K.
    Neutrosophic Sets and Systems, 2023, 60 : 6 - 20
  • [23] Problems of the comprehension of the basic notions of ecological science by contemporary society
    Bolshakov, VN
    Krinitsin, SV
    Kryazhimskii, FV
    Rica, JPM
    RUSSIAN JOURNAL OF ECOLOGY, 1996, 27 (03) : 155 - 160
  • [24] Single Valued Pentaparitioned Neutrosophic Off-Set / Over-Set / Under-Set
    Shil B.
    Das R.
    Das S.
    Neutrosophic Sets and Systems, 2022, 51 : 393 - 403
  • [25] GEOMETRIC TOOLS FOR THE OFF-LINE PROGRAMMING OF ROBOTS
    STOBART, RK
    ROBOTICA, 1987, 5 : 273 - 280
  • [26] QUALITATIVE-ANALYSIS OF BASIC NOTIONS IN AN ITERATIVE APPROACH TO POSSIBILISTIC GOAL PROGRAMMING
    HUSSEIN, ML
    FUZZY SETS AND SYSTEMS, 1993, 54 (01) : 39 - 46
  • [27] SET OF GEOMETRIC PROGRAMMING TEST PROBLEMS AND THEIR SOLUTIONS
    DEMBO, RS
    MATHEMATICAL PROGRAMMING, 1976, 10 (02) : 192 - 213
  • [28] On the Fuzzy Fractional Posynomial Geometric Programming Problems
    Zahmatkesh, F.
    Cao, Bing-yuan
    FUZZY SYSTEMS & OPERATIONS RESEARCH AND MANAGEMENT, 2016, 367 : 97 - 108
  • [29] ON EXACT OPTIMAL SOLUTION TO GEOMETRIC PROGRAMMING PROBLEMS
    Amuji, Harrison O.
    Ugwuowo, Fidelis I.
    Nwachi, Christy C.
    Okechukwu, Bridget N.
    Okeoma, Immaculata O.
    ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2024, 41 (05): : 429 - 439
  • [30] THE APPLICATION OF GEOMETRIC-PROGRAMMING TO MARKETING PROBLEMS
    CORSTJENS, M
    DOYLE, P
    JOURNAL OF MARKETING, 1985, 49 (01) : 137 - 144