[6] **viXra:1606.0343 [pdf]**
*submitted on 2016-06-30 08:36:33*

**Authors:** Florentin Smarandache

**Comments:** 168 Pages.

Neutrosophic Over-/Under-/Off-Set and -Logic were defined for the first time by Smarandache in 1995 and published in 2007. They are totally different from other sets/logics/probabilities.
He extended the neutrosophic set respectively to Neutrosophic Overset {when some neutrosophic component is > 1}, Neutrosophic Underset {when some neutrosophic component is < 0}, and to Neutrosophic Offset {when some neutrosophic components are off the interval [0, 1], i.e. some neutrosophic component > 1 and other neutrosophic component < 0}.
This is no surprise with respect to the classical fuzzy set/logic, intuitionistic fuzzy set/logic, or classical/imprecise probability, where the values are not allowed outside the interval [0, 1], since our real-world has numerous examples and applications of over-/under-/off-neutrosophic components.
Example of Neutrosophic Offset.
In a given company a full-time employer works 40 hours per week. Let’s consider the last week period.
Helen worked part-time, only 30 hours, and the other 10 hours she was absent without payment; hence, her membership degree was 30/40 = 0.75 < 1.
John worked full-time, 40 hours, so he had the membership degree 40/40 = 1, with respect to this company.
But George worked overtime 5 hours, so his membership degree was (40+5)/40 = 45/40 = 1.125 > 1. Thus, we need to make distinction between employees who work overtime, and those who work full-time or part-time. That’s why we need to associate a degree of membership strictly greater than 1 to the overtime workers.
Now, another employee, Jane, was absent without pay for the whole week, so her degree of membership was 0/40 = 0.
Yet, Richard, who was also hired as a full-time, not only didn’t come to work last week at all (0 worked hours), but he produced, by accidentally starting a devastating fire, much damage to the company, which was estimated at a value half of his salary (i.e. as he would have gotten for working 20 hours that week). Therefore, his membership degree has to be less that Jane’s (since Jane produced no damage). Whence, Richard’s degree of membership, with respect to this company, was - 20/40 = - 0.50 < 0.
Consequently, we need to make distinction between employees who produce damage, and those who produce profit, or produce neither damage no profit to the company.
Therefore, the membership degrees > 1 and < 0 are real in our world, so we have to take them into consideration.
Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics etc. were extended to respectively Neutrosophic Over-/Under-/Off-Logic, -Measure, -Probability, -Statistics etc. [Smarandache, 2007].

**Category:** Artificial Intelligence

[5] **viXra:1606.0341 [pdf]**
*submitted on 2016-06-30 08:42:46*

**Authors:** Florentin Smarandache

**Comments:** 5 Pages.

We have defined Neutrosophic Over-/Under-/Off-Set and Logic for the first
time in 1995 and published in 2007. During 1995-2016 we presented them to various
national and international conferences and seminars. These new notions are totally
different from other sets/logics/probabilities.
We extended the neutrosophic set respectively to Neutrosophic Overset {when some
neutrosophic component is > 1}, to Neutrosophic Underset {when some neutrosophic
component is < 0}, and to Neutrosophic Offset {when some neutrosophic components are
off the interval [0, 1], i.e. some neutrosophic component > 1 and other neutrosophic
component < 0}.
This is no surprise since our real-world has numerous examples and applications of
over-/under-/off-neutrosophic components.

**Category:** Artificial Intelligence

[4] **viXra:1606.0272 [pdf]**
*replaced on 2016-11-24 16:47:04*

**Authors:** Michail Zak

**Comments:** 26 Pages.

A new class of dynamical system described by ODE coupled with their Liouville equation has been introduced and discussed. These systems called self-controlled, or self-supervised since the role of actuators is played by the probability produced by the Liouville equation. Following the Madelung equation that belongs to this class, non- Newtonian properties such as randomness, entanglement, and probability interference typical for quantum systems have been described. Special attention was paid to the capability to violate the second law of thermodynamics, which makes these systems neither Newtonian, nor quantum. It has been shown that self-controlled dynamical systems can be linked to mathematical models of livings as well as to models of AI. The central point of this paper is the application of the self-controlled systems to NP-complete problems known as being unsolvable neither by classical nor by quantum algorithms. The approach is illustrated by solving a search in unsorted database in polynomial time by resonance between external force representing the address of a required item and the response representing location of this item.

**Category:** Artificial Intelligence

[3] **viXra:1606.0181 [pdf]**
*submitted on 2016-06-17 22:41:17*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 18 Pages.

In this research investigation, the author has presented a theory of ‘Universal
Relative Metric That Generates A Field Super-Set To The Fields Generated By
Various Distinct Relative Metrics’.

**Category:** Artificial Intelligence

[2] **viXra:1606.0155 [pdf]**
*submitted on 2016-06-15 07:30:51*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 14 Pages.

In this research investigation, the author has presented a theory of ‘The Universal
Irreducible Any Field Generating Metric’.

**Category:** Artificial Intelligence

[1] **viXra:1606.0146 [pdf]**
*submitted on 2016-06-15 00:17:24*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 14 Pages.

In this research investigation, the author has presented a theory of ‘Universal Natural Memory Embedding’.

**Category:** Artificial Intelligence