Papers by Huda E . Khalid
Neutrosophic Sets in Decision Analysis and Operations Research
The neutrosophic relation equations are important elements of neutrosophic mathematics, and it ca... more The neutrosophic relation equations are important elements of neutrosophic mathematics, and it can be widely applied in power systems, neutrosophic comprehensive evaluation. The aim of this chapter is to find the minimal solutions for the neutrosophic relation geometric programming having (V, Λ) operator. In this chapter, a max-min method has been built for finding an optimal solution in the neutrosophic relation equations, and a new characteristic matrix has been defined which is an important step to test the consistency of the system Aοx=b and for finding all effective paths that lead to the set of all quasi-minimum solutions. The gained results are reasonable and harmonized with those results in Khalid's work. The method overcomes the problems of poor convergence efficiency inherited from the stochastic hill-climbing method or genetic algorithms. The suggested algorithm has the intersection column method which was proposed to find the effective paths that neglect the fallacio...
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American Journal of Engineering and Applied Sciences, 2009
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by Huda E. Khalid, 2015
This article sheds light on the possibility of finding the minimum solution set of neutrosophic r... more This article sheds light on the possibility of finding the minimum solution set of neutrosophic relational geometric programming with (max, min) composition. This work examines the privacy enjoyed by both neutrosophic logic and geometric programming , and how it affects the minimum solutions. It is the first attempt to solve this type of problems. Neutrosophic relation equations are important branches of neutro-sophic mathematics. At present they have been widely applied in chemical plants, transportation problem, study of bonded labor problem [5] .
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by Huda E. Khalid, Florentin Samarandache, Ahmed K. Essa, Mumtaz Ali, 2016
In this paper, we introduce the concept of neutrosophic less than or equal to. The neutrosophy co... more In this paper, we introduce the concept of neutrosophic less than or equal to. The neutrosophy considers every idea < A > together with its opposite or negation < antiA > and with their spectrum of neutralities < neutA > in between them (i.e. notions or ideas supporting neither < A > nor < antiA >). The < neutA > and < antiA > ideas together are referred to as < nonA >. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic) [5]. In neutrosophic logic, a proposition has a degree of truth (T), a degree of indeterminacy (I), and a degree of falsity (F), where T, I, F are standard or non-standard subsets of ]-0, 1 + [. Another purpose of this article is to explain the mathematical theory of neutrosophic geometric programming (the unconstrained posynomial case). It is necessary to work in fuzzy neutrosophic space FN s = [0,1] ∪ [0, nI], n ∈ [0,1]. The theory stated in this article aims to be a complementary theory of neutrosophic geometric programming.
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neutrosophic sets and systems, 2015
In this paper, finding - a maximal
solution is introduced to (𝑉, 𝛬) fuzzy
neutrosophic relation ... more In this paper, finding - a maximal
solution is introduced to (𝑉, 𝛬) fuzzy
neutrosophic relation equation. the notion of
fuzzy relation equation was first investigated
by Sanchez in 1976, while Florentin
Smarandache put forward a fuzzy
neutrosophic relation equations in 2004 with
innovative investigation. This paper is first
attempt to establish the structure of solution set
on model. The NRE has wide applications
in various real-world problems like flow rate in
chemical plants, transportation problem, study
of bounded labor problem, the study of
interrelations among HIV/AIDS affected
patients and use of genetic algorithms in
chemical problems.
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Huda E. Khalid , Florentin Smarandache, Ahmed K. Essa, 2016
The Neutrosophic Precalculus and the Neutrosophic Calculus can be developed in many ways, dependi... more The Neutrosophic Precalculus and the Neutrosophic Calculus can be developed in many ways, depending on the types of indeterminacy one has and on the method used to deal with such indeterminacy. This article is innovative since the form of neutrosophic binomial factorial theorem was constructed in addition to its refrains. Two other important theorems were proven with their corollaries, and numerical examples as well. As a conjecture, we use ten (indeterminate) forms in neutrosophic calculus taking an important role in limits.
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Neutrosophic (over, off, under) set and logic were defined for the first time in 1995 by Florenti... more 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.
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Degree of difficulty is an important concept in the classical Geometric Programming (GP) theory. ... more Degree of difficulty is an important concept in the classical Geometric Programming (GP) theory. The dual problem is often infeasible when the degree of difficulty is negative and very little subjects have been published on this topic. This paper presents the basic concepts and principles of multiple-objective geometric programming model, and developed a numerical procedure to solve multi-objective Geometric Programming Problems (GPP) having a negative degree of difficulty using weighted method to obtain the non-inferior solution and using Brickers simple technique to ensure the dual feasibility; namely the addition of a constant term to the primal objective function.. .
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In this paper, finding - a maximal
solution is introduced to (𝑉, 𝛬) fuzzy
neutrosophic relation e... more In this paper, finding - a maximal
solution is introduced to (𝑉, 𝛬) fuzzy
neutrosophic relation equation. the notion of
fuzzy relation equation was first investigated
by Sanchez in 1976, while Florentin
Smarandache put forward a fuzzy
neutrosophic relation equations in 2004 with
innovative investigation. This paper is first
attempt to establish the structure of solution set
on model. The NRE have a wide applications
in various real world problems like flow rate in
chemical plants, transportation problem, study
of bounded labor problem, study of
interrelations among HIV/AIDS affected
patients and use of genetic algorithms in
chemical problems .
Bookmarks Related papers MentionsView impact
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Drafts by Huda E . Khalid
انه رجل يدعو للنهضة لأنه نشر في العديد من المجالات والحقول العلمية، وعلى سبيل المثال لا الحصر نجد... more انه رجل يدعو للنهضة لأنه نشر في العديد من المجالات والحقول العلمية، وعلى سبيل المثال لا الحصر نجد انه قد ابدع في الرياضيات (نظرية الأعداد، ، الاحصاء ، البنى الجبرية ، الهندسة اللاإقليدية ، والهندسة السمارانداكية )، وعلوم الكمبيوتر (الذكاء الاصطناعي، والانشطار المعلوماتي)، الفيزياء (فيزياء الكم، فيزياء الجسيمات)، الاقتصاد (ثقافة الاقتصاد ، نظرية المراكز التجارية المتعددة)، الفلسفة ( لتعميم الديالكتيك (الجدل أي مقارعة الحجة بالحجة) والمنطق النيوتروسوفي – تعميم للمنطق الضبابي الحدسي)، العلوم الاجتماعية (مقالات سياسية) والأدب (الشعر والنثر والمقالات والرواية، الدراما، ومسرحيات الأطفال، والترجمة) والفنون (الرسم التجريبي/ الطليعي، الفن التصويري، رسم تشكيلي).
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Books by Huda E . Khalid
Pons Publishing House / ISBN: 978-1-59973-906-9, 2020
على الرغم من أن الإحصاء النيوتروسوفكي قد تم تعريفه منذ العام 1996 ، ثم نشر في عام 1998 بالكتاب ال... more على الرغم من أن الإحصاء النيوتروسوفكي قد تم تعريفه منذ العام 1996 ، ثم نشر في عام 1998 بالكتاب المعنون " النيوتروسوفيا/ المنطق، المجموعة والاحتمالية النيوتروسوفكية" إلاّ انه لم ينل حظاً من الاهتمام والتطور إلى يومنا هذا. وكذلك كان الحال مع الاحتمالية النيوتروسوفكية، باستثناء بعض المقالات المتفرقة التي حظيت بتطور بسيط لا يكاد يرتقي لشمولية الفكرة التي تقوم عليها ، وقد نشرت عام 2013 ضمن الكتاب المعنون " مقدمة في القياس، التكامل والاحتمالية النيوتروسوفكية".
يعد الإحصاء النيوتروسوفكي مفهوماً موسعاً للإحصاء التقليدي (الكلاسيكي)، إذ يتم فيه التعامل مع قيم ذات مجموعات بدلاً عن قيم هشة ، بحيث يكون من السهل في اغلب المعادلات والصيغ الإحصائية التقليدية استبدال عدَّة أعداد بمجاميع . أي أن العمليات ستجري على المجاميع بدلاً من إجراء العمليات على الأعداد ، وسيتم ذلك باستخدام المعلمات غير المعينة (غير الدقيقة، التي فيها لاتأكيد ، وحتى تلك التي تكون مجهولة تماماً) بدلاً من استخدام المعلمات الطبيعية المتعارف عليها في الإحصاء التقليدي
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Pons Publishing HouseISBN: 978-1-59973-906-9, 2020
على الرغم من أن الإحصاء النيوتروسوفكي قد تم تعريفه منذ العام 1996 ، ثم نشر في عام 1998 بالكتاب ال... more على الرغم من أن الإحصاء النيوتروسوفكي قد تم تعريفه منذ العام 1996 ، ثم نشر في عام 1998 بالكتاب المعنون " النيوتروسوفيا/ المنطق، المجموعة والاحتمالية النيوتروسوفكية" إلاّ انه لم ينل حظاً من الاهتمام والتطور إلى يومنا هذا. وكذلك كان الحال مع الاحتمالية النيوتروسوفكية، باستثناء بعض المقالات المتفرقة التي حظيت بتطور بسيط لا يكاد يرتقي لشمولية الفكرة التي تقوم عليها ، وقد نشرت عام 2013 ضمن الكتاب المعنون " مقدمة في القياس، التكامل والاحتمالية النيوتروسوفكية".
يعد الإحصاء النيوتروسوفكي مفهوماً موسعاً للإحصاء التقليدي (الكلاسيكي)، إذ يتم فيه التعامل مع قيم ذات مجموعات بدلاً عن قيم هشة ، بحيث يكون من السهل في اغلب المعادلات والصيغ الإحصائية التقليدية استبدال عدَّة أعداد بمجاميع . أي أن العمليات ستجري على المجاميع بدلاً من إجراء العمليات على الأعداد ، وسيتم ذلك باستخدام المعلمات غير المعينة (غير الدقيقة، التي فيها لاتأكيد ، وحتى تلك التي تكون مجهولة تماماً) بدلاً من استخدام المعلمات الطبيعية المتعارف عليها في الإحصاء التقليدي.
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Edition: 1Publisher: Pons Editions Brussels, Belgium, EU, 2016
In this article, we discuss all possible cases to construct an atom of matter, antimatter, or unm... more In this article, we discuss all possible cases to construct an atom of matter, antimatter, or unmatter, and also the cases of contradiction (i.e. impossible case).
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In Interval Analysis (or Interval Arithmetic) one
works with intervals instead of crisp numbers. ... more In Interval Analysis (or Interval Arithmetic) one
works with intervals instead of crisp numbers. Interval
analysis is intended for rounding up and down errors of
calculations. So an error is bounding by a closed interval.
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The first part of this book is an introduction to the activities of the National Symposium, as we... more The first part of this book is an introduction to the activities of the National Symposium, as well as a presentation of Neutrosophic Scientific International
Association (NSIA), based in New Mexico, USA, also explaining the role and scope of NSIA - Iraqi branch.
The NSIA Iraqi branch presents a suggestion for the international instructions in attempting to organize
NSIA's work.
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Neutrosophy means the study of ideas and notions that are not true, nor false, but in between (i.... more Neutrosophy means the study of ideas and notions that are not true, nor false, but in between (i.e. neutral, indeterminate, unclear, vague, ambiguous, incomplete, contradictory, etc.).
Each field has a neutrosophic part, i.e. that part that has indeterminacy. Thus, there were born the neutrosophic logic, neutrosophic set, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus, etc.
There exist many types of indeterminacies – that is why neutrosophy can be developed in many different ways.
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Uploads
Papers by Huda E . Khalid
solution is introduced to (𝑉, 𝛬) fuzzy
neutrosophic relation equation. the notion of
fuzzy relation equation was first investigated
by Sanchez in 1976, while Florentin
Smarandache put forward a fuzzy
neutrosophic relation equations in 2004 with
innovative investigation. This paper is first
attempt to establish the structure of solution set
on model. The NRE has wide applications
in various real-world problems like flow rate in
chemical plants, transportation problem, study
of bounded labor problem, the study of
interrelations among HIV/AIDS affected
patients and use of genetic algorithms in
chemical problems.
solution is introduced to (𝑉, 𝛬) fuzzy
neutrosophic relation equation. the notion of
fuzzy relation equation was first investigated
by Sanchez in 1976, while Florentin
Smarandache put forward a fuzzy
neutrosophic relation equations in 2004 with
innovative investigation. This paper is first
attempt to establish the structure of solution set
on model. The NRE have a wide applications
in various real world problems like flow rate in
chemical plants, transportation problem, study
of bounded labor problem, study of
interrelations among HIV/AIDS affected
patients and use of genetic algorithms in
chemical problems .
Drafts by Huda E . Khalid
Books by Huda E . Khalid
يعد الإحصاء النيوتروسوفكي مفهوماً موسعاً للإحصاء التقليدي (الكلاسيكي)، إذ يتم فيه التعامل مع قيم ذات مجموعات بدلاً عن قيم هشة ، بحيث يكون من السهل في اغلب المعادلات والصيغ الإحصائية التقليدية استبدال عدَّة أعداد بمجاميع . أي أن العمليات ستجري على المجاميع بدلاً من إجراء العمليات على الأعداد ، وسيتم ذلك باستخدام المعلمات غير المعينة (غير الدقيقة، التي فيها لاتأكيد ، وحتى تلك التي تكون مجهولة تماماً) بدلاً من استخدام المعلمات الطبيعية المتعارف عليها في الإحصاء التقليدي
يعد الإحصاء النيوتروسوفكي مفهوماً موسعاً للإحصاء التقليدي (الكلاسيكي)، إذ يتم فيه التعامل مع قيم ذات مجموعات بدلاً عن قيم هشة ، بحيث يكون من السهل في اغلب المعادلات والصيغ الإحصائية التقليدية استبدال عدَّة أعداد بمجاميع . أي أن العمليات ستجري على المجاميع بدلاً من إجراء العمليات على الأعداد ، وسيتم ذلك باستخدام المعلمات غير المعينة (غير الدقيقة، التي فيها لاتأكيد ، وحتى تلك التي تكون مجهولة تماماً) بدلاً من استخدام المعلمات الطبيعية المتعارف عليها في الإحصاء التقليدي.
works with intervals instead of crisp numbers. Interval
analysis is intended for rounding up and down errors of
calculations. So an error is bounding by a closed interval.
Association (NSIA), based in New Mexico, USA, also explaining the role and scope of NSIA - Iraqi branch.
The NSIA Iraqi branch presents a suggestion for the international instructions in attempting to organize
NSIA's work.
Each field has a neutrosophic part, i.e. that part that has indeterminacy. Thus, there were born the neutrosophic logic, neutrosophic set, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus, etc.
There exist many types of indeterminacies – that is why neutrosophy can be developed in many different ways.
solution is introduced to (𝑉, 𝛬) fuzzy
neutrosophic relation equation. the notion of
fuzzy relation equation was first investigated
by Sanchez in 1976, while Florentin
Smarandache put forward a fuzzy
neutrosophic relation equations in 2004 with
innovative investigation. This paper is first
attempt to establish the structure of solution set
on model. The NRE has wide applications
in various real-world problems like flow rate in
chemical plants, transportation problem, study
of bounded labor problem, the study of
interrelations among HIV/AIDS affected
patients and use of genetic algorithms in
chemical problems.
solution is introduced to (𝑉, 𝛬) fuzzy
neutrosophic relation equation. the notion of
fuzzy relation equation was first investigated
by Sanchez in 1976, while Florentin
Smarandache put forward a fuzzy
neutrosophic relation equations in 2004 with
innovative investigation. This paper is first
attempt to establish the structure of solution set
on model. The NRE have a wide applications
in various real world problems like flow rate in
chemical plants, transportation problem, study
of bounded labor problem, study of
interrelations among HIV/AIDS affected
patients and use of genetic algorithms in
chemical problems .
يعد الإحصاء النيوتروسوفكي مفهوماً موسعاً للإحصاء التقليدي (الكلاسيكي)، إذ يتم فيه التعامل مع قيم ذات مجموعات بدلاً عن قيم هشة ، بحيث يكون من السهل في اغلب المعادلات والصيغ الإحصائية التقليدية استبدال عدَّة أعداد بمجاميع . أي أن العمليات ستجري على المجاميع بدلاً من إجراء العمليات على الأعداد ، وسيتم ذلك باستخدام المعلمات غير المعينة (غير الدقيقة، التي فيها لاتأكيد ، وحتى تلك التي تكون مجهولة تماماً) بدلاً من استخدام المعلمات الطبيعية المتعارف عليها في الإحصاء التقليدي
يعد الإحصاء النيوتروسوفكي مفهوماً موسعاً للإحصاء التقليدي (الكلاسيكي)، إذ يتم فيه التعامل مع قيم ذات مجموعات بدلاً عن قيم هشة ، بحيث يكون من السهل في اغلب المعادلات والصيغ الإحصائية التقليدية استبدال عدَّة أعداد بمجاميع . أي أن العمليات ستجري على المجاميع بدلاً من إجراء العمليات على الأعداد ، وسيتم ذلك باستخدام المعلمات غير المعينة (غير الدقيقة، التي فيها لاتأكيد ، وحتى تلك التي تكون مجهولة تماماً) بدلاً من استخدام المعلمات الطبيعية المتعارف عليها في الإحصاء التقليدي.
works with intervals instead of crisp numbers. Interval
analysis is intended for rounding up and down errors of
calculations. So an error is bounding by a closed interval.
Association (NSIA), based in New Mexico, USA, also explaining the role and scope of NSIA - Iraqi branch.
The NSIA Iraqi branch presents a suggestion for the international instructions in attempting to organize
NSIA's work.
Each field has a neutrosophic part, i.e. that part that has indeterminacy. Thus, there were born the neutrosophic logic, neutrosophic set, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus, etc.
There exist many types of indeterminacies – that is why neutrosophy can be developed in many different ways.